Question 1 Given f (x) = 2x and g (x) = 4x + 3. Evaluate f (g ()). %3D O 300 150 O 200 O (E) 250

Q: Problem 4. Differentiate the following function: 1 g(2) = x + g (x) =

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Q: Which one of the following is One to One function Select one f(x) = 3x + 7x2 = 3x + 7x² a. Ob f(x) =…

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Q: III. Given g(x) = 2x² – 3 for x 2 0. 4. Write an equation for g-(x). %3D

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Q: 5. Let g(x) = x2 - 3x + 5. Find g(-4). | a) g(-4) = 1 b) g(-4) = 33 c) g(-4)=-23 d) g(-4) = 9 %3D

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Q: dy Find a if a3 + y? = 1. %3D d.x Is the function f(x) = x² + x one-to-one? Justify your answer.

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Q: Create two functions h(x) and j(x) so that the composed function (hj)(x) does not exist. Explain…

A: The natural log function, ln(x) is for example only defined for x > 0. So now we just have to…

Q: . If f f() dr 17 and | f(x) dr = 8, find f(x) dr. %3D

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Q: 4. Use f(x) = x² - x, g(x) = 2x - 1 and h(x) = x + 3, determine g(f(x)). %3D %3D

A: This question can be solved using the concept of composition of function.

Q: Activity #2: Differentiate the following functions. 1. f(x)= -3x² - 4x + 12

A: This question is taken from Derivative in which we have to find the derivative of the given…

Q: For f(x) = x2 +3 and g(x) = x² - 7, find the following functions. a. (fo g)(x); b. (g o f)(x); c.…

A: f(x)=x2+3 and g(x)=x2-7

Q: Homework: Find (fag), (gof), (faf) and (gg) of the following functic 1. f(x) = x'; g(x) = x² +3. 2.…

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Q: Homework: Draw the following functions 1. y= f(x)= 3x² +2 2. x +y =1 %3D 3. y = 4x-1 4. x=y 5. y=…

A: Note Since you have posted multiple questions. We will solve the first question for you. If you want…

Q: Differentiate the following function. f(x) = |x+ x+ -le 6x d 5 X+ 6x dx

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Q: . For each of the following functions f. find its domain. 2. (b) f(x) = (a) f(x) = x - 5 5x+ 6 (c)…

A: We have to find the domain of the given function.

Q: 3 Show that the function f(x) = Vx – 5 is one to one function. %3D

A: The objectives to show that the function f(x) is one to one function.

Q: Q1. Fill in the chart based on the graph of the given function f(x): 2 -4 -3 -2 -1 2 7 -1- 1 2 x -2…

A: We have given a graph of f(x) and we have to find the values of f(x), f'(x) and f''(x).

Q: 4. Graph the functions f (x) = 2(x + 6)² + 2 and its inverse.

A: The given function is f(x) = 2(x+6)2 + 2  When we put x = 0, the value of f(x) comes out to be…

Q: 39. Which of the following can be written in the form f(x) = aVx-h+ k, where a + 0? %3D O A.…

A: Given: fx=ax-hh+k where a≠0

Q: What is the domain and range of the attached function:

A: We are given the function

Q: graph the functions. f (x) = 1/3 |x|

A: Graph the function fx=13x

Q: 9. Check whether |x| + |y| = 1 is functions of x or not? %3D

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Q: Set f(x) = x² – 2x + 1 and g(x) 2x – 2. Compute and simplify (f o g)(x). %3D - - Choose File No file…

A: f(x)=x2-2x+1 and g(x)=-2x-2

Q: Consider the functions given below. Find the following. f(x) = Vx - 8, g(x) = x³ + 8 %3D %3D (a) fog…

A: Using formula, fog=f(g) &gof=g(f)