Let f(x) = x2 + 1 and g(x) = x + 2 be functions from R to R. If f(g(x)) = x2 + Ax + B and g(f(x)) = x2 + Cx + D, then match the unknowns—A, B, C, and D—on the right to their corresponding values on the left. Hint( answers include 1, 2, 3, 4 in drop down menu)

Q: Let f(x) = x² + 6x + 2

A: Function is given by f(x) = x2 +6x + 2 To evaluate : fx+h - f(x) and fx+h - f(x)h

Q: Suppose the point (0, b) is on the graph of f(x) = -x +1, then the value of b is

A: We have to find value of b.

Q: Let m(x) = 2x² - ax - 2 and n(x) = bx² + 2x + 5. The functions are combined to form the new function…

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Q: If c is a non zero constant then the function is always differentiable x2 + c2

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Q: a. (fo g)(x); b. (go f)(x); c. . (fo g)(- 2);

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Q: x-1 3. If f(x) = 2x + 1 and g(x) = , then f(g(x)) = ? 2 a. x-1 b. 4x+2 5x+1 C. 2 (2x+1)(x-1) d.

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Q: 3) Find domain of the following functions x+4 a) f (x) = x²+2x-8

A: Given function is: fx=x+4x2+2x-8 We have to find the domain of f(x).

Q: 2. 2. If f(x) 2x + 3 and g (x) = x-1, then f g(-1) = %3D A. 3 B. -1 C. 2 D. 0

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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: If(5, –2) is in the function f (x), then which of the following points will be in the function f'…

A: Given that (5, -2) is in the function f(x). So, we have f(5) = -2 and hence f-1(-2) = 5. Thus, we…

Q: Suppose the functions g and f are defined as follows. h(x) = -5+ 4x2 g (x) = 4 – 9x (ə) Find (4)…

A: Given that, h(x)=-5+4x2 and g(x)=4-9x. Part (a) The value of hg(x) is same as hg(x)=h(x)g(x)…

Q: Let f(x) = 2? + 3 and g(x) = 3x +5. What is f(g(-1))

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Q: Choose all functions that are members of the same family. Oy=-x(x − 3)(x + 5) Oy=x³ + 2x² - 15x…

A: By simplifying each function, we can identify the members of same family.

Q: If a and b are both positive numbers, which statement is true about the x-intercepts of the function…

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Q: Let f(æ) = 4x + 4 and g(x) = 5æ? + 2æ. After simplifying, (f + g)(x) =

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Q: Please determine the domain of the function

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Q: If f(a) x* + 5, g(a) =-6 and h(z) a, then

A: Given: To find:

Q: (-5-х-4):(-2-х-9) Let f(x) = (4:x-2)-(5.x+3) Indicate which of the following points x are in the…

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Q: Which of the following is equivalent to the function f(x) = 4x2 + 12x- 6? 312 A) f(x)= 4x + -3 2 B…

A: We have to find

Q: The set D = {x +4y - 22 0} is the domain of which of the following functions? In (2x? + 8y? - 3) 2.…

A: We have to find domain

Q: Find the rule of the function associated with the following table. 1 2 3 y 1 - 3 -7 -11 y = -4x+1 y…

A: We have to find the function y x 0 1 2 3 y 1 -3 -7 -11

Q: If f(14)=27, find f-1(27)

A: If f(x) = y is any function and f is one-one then, => f-1(y)=x

Q: If f(x) = x + 6 and g(x) = x² - 5, find the following. b. g(f(0)) d. g(f(x)) a. f(g(0)) c. f(g(x))

A: We are authorized to answer three subparts at a time since you have not mentioned which part you are…

Q: Each function F has domain (0,1,...,23,24). Which function F satisfies the 5-to-1 rule? F(x) =…

A: A function f is said to follow 5-to-1 rule if for every value y in the range of f, there exists five…

Q: Q.1. Which of the following function is even ? 4 _A) f₁(x) = x² + x³ -B) £₂ (X) = x² + x² + x³ c) £3…

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