Given that f(x) : 8x + 8 and g(x) = 3, calculate: %3D (a) f(g(7)) %3D (b) g(f( – 8)) %3D

Q: Given f(x) = 2x2 + 1 and g(x) = 6x - 8, find the followin %3D (a) f(g(2)) 33 (b) f(g(x)) (c) g(f(x))…

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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: g(x) = x³ + x? - 8x- 12 f(x) = x² + 4x +3 %3D h(x) = x² + 3 %3D s(x) = x² - 3x

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Q: Let f(r) = 4x + 2 and g(z) = 5a² + 5x. After simplifying, (fo g)(x) =

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Q: F(- 2) : (- 1) = F(0) F(1) (2) = %3D %3D

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Q: 7x 9. For the given functions, f and g, find (fog)(x) : f(x) = 7x²+4; g(x)=3x+2

A: To find the composite function

Q: For the function f(x) = 3 (e - 8) + 2, find f(x).

A: Given f(x) and inverse of f(x)

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: = 3x? – 4x + 1 and g(x) = x² – 5x – 1, find If f(x) (f – g)(x) and (f – g)(2). %3D

A: Given,  f(x) = 3x2 - 4x + 1 g(x) = x2 - 5x - 1 To find (f - g)(x) and (f - g)(2)

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: Determine g(x + a) - g(x) for the following function. 8(x) = -4x2 + 3x

A: topic - functions

Q: If f(x) = x? (g - f)(x) and (g – f)(-1). – 3x + 4 and g(x) = 2x - 5, find %3D

A: The given function is fx=x2-3x+4 and gx=2x-5

Q: For f(x) = -3x² + 5x 2, find %3D f(x + h) – f(x) h+ 0 h

A: fx=-3x2+5x-2

Q: Given the function f(z) = 4x² + x – 5. Calculate the following values:

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Q: • The domain of f(x) = is 3-x %3D x2 -1

A: Given f(x)=(3-x)/(x^2-1) Domain of f(x) is the all possible value of x such that f(x) exist. Since…

Q: Given f(x)=x– 2x-8, g(x)=5x -1 and h(x): %3D

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Q: If f(x) = x² + 5 and g(x) = x – 4, evaluate the following %3D f(6) a. b. g(6)

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Q: For f(x) = 3x-9 and g(x) = find the following function 3 %3D a. (fo g)(x); b. (g o f)(x); c. (f o…

A: f(x) = 3x-9 9(x) = x+ 93 a) (f0g) (x) = f (g(x)  = f x+93 = = 3x+93-9= x+9 -9 =x(fog) (x) =x…

Q: Given the function f(x) = 4x² – 7x + 1. Calculate the following values: f(– 2) = f(– 1) = | f(0) =…

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Q: For f (x) = x² + 2x – 2, what value of g (x) gives (f– g) (3) = 11? O a) 2 O b) -11 O c) -2 d) 11

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Q: Given f(x) = x2 – 2x and g(x) = 3x² + x – 1, find f(x) – g(x).

A: Solution

Q: Given the following functions, find each: f(x) = x – 7x + 12 g(a) = x – 4 (f + g)(x) = x² – 6x +8…

A: Use the definition

Q: Ay 2- -4 -2 2 -2

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Q: Find the domain of the function g(x) = %3D 5x2 + 4x - 1

A: g(x)=x5x2+4x-1 We need to find the domain of the function.

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: For f (x) = x² + 2x – 2, what value of g (x) gives (f – g) (3) = 11? O a) 2 b) -11 c) -2 O d) 11

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Q: Consider the function: f (x) = 4.x + 2x, + 7x3 + 5x + 10x1x2 – 8x1x3 + 12x2x3 – 6x2x4 + 4x3x4 + 17x1…

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Q: Q2. Let S(x) = (x+2), and g(x)= (x+) gof and fog find

A: From the given data: