Let f and g be define f(x) = x-5 and g(x)=x²-1. Express the following functions as the sum, difference, quotient, or product or f and g. (a) P(x)=x²-x-4 (b) Q(x) = x² + 2x -9 x-5 (c) R(x) = (d) S(x) = 2x²-2 x²-x+4 x-5 x³-4x²-11x+30 (e) T(x) = v2_1 Given the following, find f(x). (a) (f+g)(x) = 2x² - 5x + 6, g(x) = x² + 8x - 7 (b) (f.g)(x) = x++ 16x² + 256, g(x) = x² + 4x + 16 (c) (fog)(x) = (3x-2), g(x) = 3x - 2 (d) (gof)(x) — 18r-25 g(x) - 6x-7

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: Find all the real zeros of the function: f(x) = (x + 5)²(x²-3x - 10). O A OE OB (A) x = -5 2 times;…

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Q: Describe the end behavior of the function f(x)= √7x

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Q: Evaluate the function f(x) = ⟨x⟩ + 1 when x = −1, 2, and 32.

A: We have to Evaluate the function f(x) = ⟨x⟩ + 1 when x = −1, 2, and 3

Q: Consider the function P(x) = x3 – 16+ 8x +10x².

A: Rearrange the P(x)

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A: Derivative of function

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A: Known fact:The difference quotient is computed using the formula is m=( f(x+h) - f(x))/h.

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A: Given : f2(x)=7x2-3x-10   To Find : (f2ο f2)(-1)

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

Q: Please determine the domain of the function

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Q: find (g-f) (-2) b. Evaluate the function f.g for x=-1, find (f.g)(-1) c. Find the the

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Q: Determine the end behavior of the following function as x → –: 6x2 – 7x – 9 - t(x) - 3x4 – 2x3 |

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A: we have to find the following

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A: Given:f12-f-12fx=x+3        if  x≥58             if   x<5