Use the table to evaluate the given compositions. a. h(g(-2)) d. g(h(f(-2)) g. f(h(g(1))) j. f(f(h(2))) b. g(f(-1)) e. f(f((2))) h. g(f(h( – 1))) c. h(h(1)) f. h(h(h(- 1))) i. g(g(g(3)) ..... a. h(g(-2))= (Simplify your answer.)

Q: ii Sketch y = f(x), y= f¯'(x), and y = x _on the same set of axes.

A:

Q: ine x and y such that -4 3 0 -4 + -3 x - y -1 -2 4 -4 3 2x + y

A:

Q: Evaluate exactly each of the following. a. f (3) c. h (3) d. (h- g) (3) 2 f.

A: Given:f(x) = x3, g(x) = 3x−2, h(x) = (1/x).

Q: 4. Given f(x) = 2x +1; g(x) = 5x - 3. Find the product of f and g. A. 10x+x-3 B. 10x-x+3 C. 10x +x+3…

A: We find out the product of f(x) and g(x).

Q: In ΔHIJ, m∠�=(8�−6)∘m∠H=(8x−6)∘, m∠�=(2�−4)∘m∠I=(2x−4)∘, and m∠�=(�−8)∘m∠J=(x−8)∘. Find m∠�.m∠H

A: We have to find m∠H using given data Concept required: According to angle sum property of…

Q: Provide an appropriate response. Find f(x) if f(x): and f(1) = 4. Select one: O A. -28x-5+ 32 7.…

A:

Q: 2. Use f(x) = 2x + 5 and g(x) = x^2 + x - 6 for following combinations. A. (f+g)(x) = B. (g-f)(x) =…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Evaluate x +3 dx (x – 1)(x² + 25)

A:

Q: For f(x) = 5x – 1 and g(x) = 5x2 - 1, find the following functions. %3D a. (fo g)(x); b. (g o f)(x);…

A: Given f(x)=5x-1 and g(x)=5x2-1fog(x)=In place of x of f(x) substitute g(x)fog(x)=f(g(x))=5(5x2-1)-1…

Q: Let f (x) = x- 7 and g(x) = x² – 16x + 63, then f(x) g(x) Select one: O a. X-9 O b. x+7 x+9 O d.…

A: Given: f(x) = x -7 g(x) = x2 - 16x + 63   To find: f(x) / g(x)

Q: d. e. 8x³10x² - 12x - 15 2x² - 3 I 3x4 - 2x² - 5 3x² - 5 13 X x² − 1⁄2x³ + 3x² −5/2x+12/20 - f. 9 -…

A: Solve given expression using long division method

Q: |x−4/3|≥3

A: In the question it is asked to solve the mod equation |x-43|≥3.

Q: C. Use the table to evaluate cach expression: 2 3 4 3 5 4 f(x) g(x) 4 2 3 3 a) f(g(0)) b) g(g(1)) c)…

A: Recall: f∘g(x)=f(g(x)) f±gx=f(x)±g(x) f.g(x) = f(x).g(x) Note : According to Bartleby guidelines,…

Q: . Let f(x) = x² + x + 3, g(x) = 5x + 3 and h(x) = 2x² – 4x + 1. Find the following: d. (fo h)(-5y)…

A: Composition of the function

Q: Let P(x) be the interpolating polynomial for the data (0, 1), (1,3), (4, -3). Then P(2) = 3 4 -3 1

A: Here are 2 ways to solve find the solution In 2 method we will use this lagrange interpolation…

Q: Give that f(x) = x- 4 and g(x) x +3 2. find each of the following: x+ 2 X - 4' a. Find the value of…

A: follow next step

Q: 1. Evaluate each expression using the graphs of y = f(x) and y = g(x) shown in the figure. (7. 6) y…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: If f(x)=x² - 6x + 5 and g(x)= - 4x, find the following compositio (gof)(-5) (gof)(-5) = (Simplify…

A: Solve the function

Q: Copy and complete the following table.

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: Which of the following functions is equal to the fraction shown as below: 22 - 8 7 1 1+ 2 (х- 6) 1 +…

A:

Q: If VAR(X) = 8, E(X)= 3, then E(X – 2)² = None

A: Provided information is,  VAR(X) = 8, E(X) = 3 From given information,…

Q: Let â = (2,0, –3), %3D b = ( and -4, –7,1) c = (1,1,–1). Find

A: The given vectors are a⇀=2, 0, -3, b⇀=-4, -7, 1  and  c⇀=1, 1, -1.

Q: h(x) а. h(-2) b. h(1) c. For what values of x is h(x) = -1? -2 -2 -1 -1 1 -1 -2

A: Consider the table: x hx -2 -2 -1 -1 0 0 1 -1 2 -2   Find. a) h-2 Since the value…

Q: Composition and Inverses of Functions Suppose f(x) following. = 2x, g(x) = 3x - 2, and h(x) = x² –…

A:

Q: 10. Let f(x)= 3x + 8 and g(x)= x - 2. Find f(g(x)). a. 2x + 3 b. 2x - 3 c. 4x + 1 13 d. 3x + 2

A: As per our guidelines we are supposed to answer only one question. Here question 10 answered.