Answered: If f(x)=√x and g(x)=x+100, simplify the…

Math

Calculus

If f(x)=√x and g(x)=x+100, simplify the expressions (fog)(5), (f of)(64), (gof)(x), and (fog)(x). (fog)(5)=☐

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.4: Composition Of Functions

Problem 4SE: How do you find the domain for the composition of two functions, fg ?

See similar textbooks

Related questions

Q: ☐ ☐ 16. For the differential equation 33 dy dx = = 2(1+ y²) (sin 2x), find a specific solution that…

A: Yes, the solution presented is correct and follows the proper steps for solving the given…

Q: Use the method of least squares to obtain a straight line which best fits these data points. a) Fill…

A: Step 1: Defining the problem.The least squares method is the process of finding a regression line…

Q: Help

A: Step 1: Step 2: Step 3: Step 4:

Q: 2 Find the second derivative of y = 1½ cos² x. Oy" = COS x 2 y" = COS X sin² x cos² - Oy" = sin² x =…

A: Q.Consider, y=21cos2x Differentiate with respect to x. y′=21dxd(cos2x) Use formula:…

Q: 3. Find the limits a) lim X-70 4 3x

A: Step 1: Understanding the FunctionThe expression we're considering is 4/3x1/3, where x1/3 is the…

Q: need help with this problem

Q: The entire graph of f is given. Find the domain of F

A: Step 1: Step 2: Step 3: Step 4:

Q: (0) [² f(x) dr= dx 3 (b) (c) h° f (x) dx = 6° Number 8 f(x) dx: Number y 2 6 0 2 4 -2- -6- 6X 00 8…

A: Step 1: Step 2: Step 3: Step 4:

Q: 2) For the equation x + y = 1, find and simplify dy (a) dx d²y (b) dx²

A: Step 1: Step 2:

Q: Help me find the sample size of a population of 500 using yamani formular

A: The Yamane formula is a mathematical formula used to calculate the sample size needed for a research…

Q: Calculus I May I please have the solutions for the following questions? Thank you

A: Step 1:Step 2:Step 3:Step 4:

Q: = Spriate assignment. 1. Set up the following integral in spherical coordinates where the region R…

A: To set up the integral ∭RxdV in spherical coordinates where the region R is bounded above by the…

Q: f(x)=3x² 2 0 ≤ x ≤ 1 a) Verify that (x) is a probability density function b) Find the CDF F(x) c)…

Q: Find the critical point(s) of y = (1 − x²) 5. — x=0, x=1 x=-1,x=0, x=1 x=1 x=-1, x=1

A: First Question-Concept to be used:Critical points of a function y=f(x)are points where the function…

Q: Assist with finding a basis for column space of A and the kernel (null space) of A

A: Using Python to expedite these steps: Given matrix A A = np.array([[3, 4, 2, 7, 1],…

Q: The figure shows graphs of f, f', f", and f "". Identify each curve. 2 v f f' ? f" ? f?v abcd YA X

A: Step 1 Solution : We know that When f is increasing then f' > 0 and when f is decreasing then f'…

Q: Write the specified terms from each sequence. (a) n=0 50 (b) {() 3 n=0

A: If you have any questions let me know in comment box thankyou for your question.

Q: Show that the series converges: Σ (-1)+1 3 n° +1 n=1 a. Find the 30th partial sum: $30. b. Find the…

Q: □ Consider the initial value problem y = 3 + 4 +2, y (0) -3 Fuse Fuller's methool with n = 2 to…

A: Let's solve the initial value problem using Euler's method with n = 2 to approximate the solution…

Q: need help

Q: 1. Sketch a graph of a single function f that satisfies each of the following. (Feel free to use the…

A: Step 1:Step 2:Explanation:Asymptotic behavior describes how a function behaves as x approaches ∞ or…

Q: Help

A: Part (a) Given:Hypotenuse c = 12 inchesAngle θ = 50∘Adjacent side x To find the adjacent side x, we…

Q: Evaluate the limit: lim In 2x In 3x x x О 32 ○ 1 The limit does not exist 23 #33

A: ###(1)To evaluate the limitlimx→∞ln3xln2x,we begin by breaking down the logarithms using…

Q: i would apprativce it if you could exlpain

A: Given complex numbers are z=2+3iw=5−i So, (a) 2z+w=2(2+3i)+(5−i)2z+w=(4+6i)+(5−i) Now, combining…

Q: From a calculus perspective, a monotone function is a function whose derivative never changes sign.…

Q: العنوان не 2. Solve the following partial differential equation: ac/dt = Da²c/ax²

A: Step 1: Step 2: Step 3: Step 4:

Q: Solve a b and c (brief answers only)

A: ### (a) If A is an 8×6 matrix and its null space has dimension 2, then the columns of A are…

Q: I got this question correct, but I was hoping for help on what I am exactly looking at on the graph…

A: Step 1: Step 2: Step 3: Step 4:

Q: 4. Consider the vector function v(t) = (t, t², t³). (a) (10 points) Find the unit tangent vector…

A: ###(a)To find the unit tangent vector T(t), the unit normal vector N(t), and the binormal vector…

Q: Hi, could you solve this question?

Q: [2 3 4 B=034 LO 0 4

Q: 4. (16 points) Consider the vector field: (2/27 +2ry) j F(x, y) = (xy + y²) i + ( 22 (a) Is F…

A: Step 1: Check whether function is conservative. Step 2: Find f(x,y). Step 3: Find the integral.

Q: Let y = 3x² + 2x + 3. If Ax = 0.2 at x = 2, use linear approximation to estimate Ay Ay≈

A: Step 1: Find the derivative of the function. First, we need to solve for…

Q: need help

A: Step 1Step 2 Step 3 : Step 4

Q: Cal 3 Q5

Q: For question 59E chapter 13.2 in book calculus eary transcend. Why we cannot apply the negative…

A: The problem is asking about the square of XYZ, which is a product of three variables X, Y, and Z.…

Q: Find 6 +0 such that b = So (x − 1)dx - – = 0. Previous Page Next Page Submit Quiz 0 of 25 questions…

A: Step 1: Step 2: Step 3: Step 4:

Q: Let f (x) = X 3 2 — 1 x 2 x = = 2 Which of the following statements. I, II, and III, are true? 1.…

A: Step 2: Step 3: Step 4:

Q: You must show all necessary work as neatly and clearly as possible and clearly indicate your final…

A: Step 1: Step 2: Step 3: Step 4:

Q: Please see the attached image for the questions on the topic "conics". Please see the image attached…

A: The given equation is in the form of (x-h)2a2+(y-k)2b2=1, which is the standard form of an ellipse.

Q: Please see attached image for the question

A: Step 1: Input both functions into desmos:Step 2: Click and view the intersection points.Step 3: Find…

Q: III The function y = Ce-10 Solves the differential equation 3"-7=-6y - 60. true false 6 of 8 1 of 8…

A: Answer (1)To determine whether the given function y=Ce6t−10solves the differential equation y'' -…

Q: My last digit of student number is 4 The equation (1) is in the first image.

Q: Example 7: Find lim sin(a+h)-sin in a h→0 h Solution // lim h→0 sin(a) cos(h) + cos(a) sin(h) –…

A: Step 1:Method1 Method2 Step 2: Step 3: Step 4:

Q: Calculus I May I please have solutions for the following questions? Thank you

A: 2. Show that the function f(x)=(x+2x3)4 is continuous at a = -1.To prove that a function is…

Q: 5) Find lim x-0 sing+tanr

Q: i can graph the given but i get lost when setting up the integral All I know is that the bounds are…

A: Graph:The red line is the graph of y=|x| for -5≤x≤5.The blue line is the graph of y=5 for -5≤x≤5.The…

Q: Evaluate the following limits when they exists: x+x3x²+1 (a) (5 points) lim→>-1 x+1

A: To evaluate the limit limx→−1x+1x4+x3−x2+1, we first check if direct substitution leads to an…

Q: Find the volume V of the solid below the paraboloid z equals 5 minus sqrt (1 + x^2 + y^2) and above…

A: Step 1:Step 2:Step 3:

Q: 3 Approximate 10 using the linearization, L, for f (x) = ✓✓✓ centered at C = 8, given below. L(x) =…

Question

If f(x)=√x and g(x)=x+100, simplify the expressions (fog)(5), (f of)(64),
(gof)(x), and (fog)(x).
(fog)(5)=☐

AI-Generated Solution

AI-generated content may present inaccurate or offensive content that does not represent bartleby’s views.

Unlock instant AI solutions

Tap the button
to generate a solution

Click the button to generate
a solution

SEE SOLUTION

Similar questions

Find f(1) and f(2). f(x)=x+7
Explain the meaning of G(4,3,2) and calculate its value.
Why does the domain differ for different functions?
How do you find the domain for the composition of two functions, fg ?
Express the quadratic function f(x)=x2x6 in standard form, and sketch its graph.
Describe the end behavior of each polynomial. (a) y=x38x2+2x15 End behavior: y as x y as x (b) y=2x4+12x+100 End behavior: y as x y as x
Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?
If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. a. (f + g)(– 2) b. (g - )(- 4) c. (f • g)(1) d. (3) a. (f+ g)( – 2) = | (Simplify your answer.)