nctions f(x) = 3 + VI, 9(x) = x² – 3, %3D (a) (fo g)(x) (b) (go m)(r)

Q: Given that f(x) = x-10x and g(x) = x + 11, find %3D (a) (f + g)(x)= (b) (f – 9)(x)= (c) (fg)(x)= (d)…

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Q: f(x) = - 4x-1 and g(x) = x- 4. nd (fo g)(6). en (fo g)(6) = : (Simplify your answer.) %3D

A: follow next step

Q: Given f(x) = x² + 3x + 9, find the following. HINT %3D (a) f(0) (b) f(1) (c) f(-1) (d) f(-3) (e)…

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Q: If f(x) dx = 5x³ – 7x6 + C, find f(x). f(x) =

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Q: x - 7 dx х? — 2х — 3

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Q: Let f(x) = 1 and g(x) + 6. %3D %3D Then (f o g)(x) = (go f)(x) = |3D 4)

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Q: show that 1f ∘ g2 (x) = 1g ∘ f2 (x) = x.

A: fx=x+5 ;   gx=x-5

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

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

Q: Given f(x) = 2x² + 1 and g(x) = 4x – 5, find the following. %3D (a) (g(2)) (b) f(g(x)) (c) g(f(x))…

A: Given: f(x) = 2x2 +1;   g(x) = 4x-5(a)…

Q: If f(x) = Vx+1 %3D 1 g(x) =- X+4 1 h(x) = - X Then find (fogoh)(x)

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Q: If f(x) = 2x + 3x – 1, evaluate the following. %3D (a) f(a) (b) f(-a) (c) f(a + h) f(a + h) – f(a)…

A: Given, fx=2x2+3x-1 a) fa is found as follows: Substitute a for x in the given function.…

Q: Given the functions f (x) = 3x - x.g(x) =7,h(x) = 9z, find gof(z) O gof(x) = 3-7 O gof (x) = () (322…

A: Composite function is a function in which there are more than one function and value of one function…

Q: Let f(x) = 4x – 5 and g(x) = 3x² – 4x + 4. %3D %3D (a) Find f(g(4)). (b) Find g(f(4)).

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Q: Let f(x) = - 9x + 12 and g(x) = x2 + 6. %3D Find f(5) + g(5).

A: Given that f(x)=-9x+12.       and g(x)=x2 + 6 find f(5)+g(5)

Q: Find (go f)x f(x) = x² g(x) 2x-5 O x2-5 O 4x2-5 O 4x²+25 O 2x2-5 Question 10 f(x) = 10x - 7 g(x) =…

A: We will solve the following

Q: Evaluate (f – 9)(x) f(x) = x2 - 5x – 4 g(x) = 2x – 2 (f – 9)(x) =

A: Given, f(x)=x2-5x-4g(x)=2x-2

Q: If f(x) = x2 + 9 and g(x) = x2 + 12, find (g f)(x). %3D %3D

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Q: x(x +4)(5 – 2x) = 0 %3D

A: Given query is to simplify the expression.

Q: d -(f(x² + 3x)) dx

A: Derivative

Q: Consider the functions: Ax) = x+ 2 %3D g(x) = 3x What is the value of (f g)(2) ?

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Q: (x)6q %3D 11b. g(x) = Jx+2 – 2; x = -2, -1, 2, 7

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Q: Let f(x) = 5x +1 and g(x) = X-1 Simplify the expressions f g g(f(4)), and g(f(x)). ...... g(f(4)) =…

A: The objective of the question is simplify the composition function at given point.

Q: Find 3[g(4)] if g(x) = -2x + 10 %3D

A: Given: gx=-2x+10 To find: 3g4

Q: For #8,9: Let f(x) = x² + 4 and g(x) = 2x- 5. 8. Find (f + g)(2) 9. Find (fg)(3)

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Q: Let f(x) = 6x – 10. Find each of the following: %3D f(a) = %3D 2f(a) = %3D f(2a) = f(a + 2) = %3D…

A: We have to find function value

Q: Suppose that f(x) = 6x + 7x 2. Evaluate each of the following: %3D

A: Here we have f(x)=6x-4+7x-2 .................................. (1)  Differentiate with respect to x,…

Q: Find f.g.h. f(x) 3D —, д(х) %3D х3, h(x) %3D х +4

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Q: .Which function results in f(2) = 132 %3D A. f(x) = x2 + 8 %3D B. f(x) = 3x2 + 1 %3D C. f(x) = 2x3 +…

A: We have to find out

Q: What is (fo g)(-1) if f(x) = 2x + 3 and g(x) = ? %3D O (f o g)(-1) = O (f o g)(-1) = 2; O (fog)(-1)…

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Q: xe 47. h(x) Rule %3D x + 1

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Q: Suppose f(x) = 5x – 6 and g(x) = Va² – 2x + 5. - - (f o g)(x) = (f o g)(5) =

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Q: Let f(x) = 7- Va +1 and g(x) = x - 6. Then (f o g)(2) %3D (f o g)(x) =

A: Given: fx=7-x2+1gx=x-6