Rewrite in the form f(x) = q (x) + f(x) = = 3x²+6x-7 2+3 r(x) b(x)

Q: Let a > 12 be a constant. Evaluate 4x2 + 32x + 40 + 2a dx (4x + a)(x² + 6x + 10)

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Q: Find f(3x) if f(x) = 9 – 4x2. f(3x) = = (Simplify your answer.)

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Q: Let f (x) = 2x + 4 and g(x) = 2x - 6. Find (a) f 1x2 + g1x2, (b) f 1x2 - g1x2, (c) f 1x2 g1x2, and…

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

Q: f(x) = 3x² + 10x – 11 %3D

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Q: f(x) = x² + 7x –- 30

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Q: If f (x) = 2x2 - 7 and g(x) = x2 + x - 1, find f (-2), f (3), g(-4), and g(5).

A: A function is a relation between a set of two variables, one dependent variable and an independent…

Q: Find a. (f + g​)(x​)     b.​ (f+g​)(7​).   f​(x​)=3x2 - x- 5, g(x) = x – 1 ​   (f + g)(x) =…

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Q: Find f(2n + 5) + 4f(3n) if f(x) = -3x2 - 7x - 1

A: Given query is to find indicated function operation.

Q: F(x)=7x+2 a. F(-7) b. F(x+4) c. F(-x)

A: F(x)=7x+2 a. F(-7) b. F(x+4) c. F(-x)

Q: Find all the factors of f (x) = x³ – 4x² + x + 6.

A: GIVEN: f(x) = x3 - 4x2 + x + 6

Q: finde the difference quotient of f(x)= x2-2x-3 in simplest form

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

Q: Let f(x) = 3x+2 and g(x) = 2x- 7. Find (f+ g)(x), (f- g)(x). (fg)(x), and (X). Give the domain of…

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Q: If f(x) = 3x² + 6x – 5, find the following: (a) f(5) = (b) F(-1) = | (c) f(-6) =

A: Given               f(x)=3x2+6x-5we have to find  f(5)    replace x by 5 in f(x) f(-1) replace x by…

Q: g(x + h) – g(x) Let g(x)= 5 - 5x + 4x2 then the expression can be written as h Ah + Bx + C, where A,…

A: Given: g(x)=5−5x+4x2

Q: 5x 1 f(x) 2х + 8

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Q: f³ (x) for Find g3 – 5x2 + x = f (x) -

A: Here, the given function is: f(x)=x3-5x2+x

Q: Find f(3) if f(x) = - 4x2 + 5x.

A: A function relates inputs to outputs. An expression is said to be a function if for each input…

Q: If f(x) = 3x + 2, and * g(x)=x +x - 2 , find gof.

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Q: Evaluate the difference quotient for f(x) = −x³ +· O 3x²+3xh-h² O h² O-h² O-3x²-3xh-h²

A: See the details solution in below

Q: If h(x) = -3(9x + 13) and h(x) = 15, find x.

A: given h(x) =15 than the equation become 15=-3(9x+13) 15=-27x-39 27x=-39-15 27x=-54

Q: f(x) = 5x + 2 a.) f(-2) b.) f(5)

A: To find the f(-2) and f(5)

Q: If h(x) = -2x2 - x + 4, find h(-2), h(-3), h(4), and h(5).

A: We have to find the value of the function at certain points . In general for a function fx we can…

Q: f(x) = x4/x2 + x − 30find the domain

A: here, objective is to find the domain of the given function