Let f be an invertible function with domain R. Define g(x) = f−¹(x + 2). What is the value of f(g(4))? A. 2 B. 0 C. -1 D. 6

Q: 8. Given: f(x) = x - 2 and g(x) = 2x + 3 Find: a. (f + g)(x) b. (f - g)(x) c. (f · g)(x) d. (fo…

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Q: The function f: RR defined by f(x) = 5x3 + 3x2-x + 7 is O(x). True False

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Q: Use the graph of the function f shown to the right to find f(0), f(1), and f(2). CELE f(0) =

A: This question can be solved using the concept of locating points on the graph.

Q: Select all of the statements that are true for the function g (x)=-3f (x+4) – 2.

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Q: Refer to the following functions: p(x) = x2 + 2x – 15 x +1 9(x) x-3 r(x) = v7-x Which of the…

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Q: 1. For f(x) = 3x² + 5 and g(x) = 7x - 2, a. Find f(2) and g(2). b. Verify: g(x + 2) # g(x) + g(2).…

A: Given data: *The function f(x) is f(x)=3x2+5 *The function g(x) is g(x)=7x-2 a) We have, f(x)=3x2+5…

Q: Let fx) - 2x-5 and let g(x)= 4x +1. Find the given value. flg(- 2) flg(- 2)] = (Type an integer or a…

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Q: find functions f and g so that f ∘ g = H.

A: It is given that;  H(x)=x2+1 and; (f∘g)(x)=H(x)

Q: For f (x) = x² + 6 and g(x) = V1 – x find the following values. a. (f + g)(x)

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Q: Find the domain of the functions a. f(x) = V5x –9 b. f(x) = x2+x-6

A: We have to find domain

Q: 23. For f(x) = 9x and g(x) = x + 4, find the following functions. a. (fo g)(x); b. (g o f)(x); c. (f…

A: Solution(d) :

Q: Define f(x ) = – x² and g(x) = 5x – 3. 4+x - - Find the value of (f – 9)(-1).

A: Proceed as shown below...

Q: Find fo go h. f(x) = √√x-3, g(x) = x², h(x) = x³ + 4

A: f(x)=x−3,g(x)=x2,h(x)=x3+4

Q: If f(x) = 2x2+x +1, and g(x)=x is an identity function then (f + g)(1) = O a. - 4 O b. -8 O C. 4 O…

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Q: 9

A: We will find the difference coefficient.

Q: Define f (x) = 2 – 3x2. Find the exact value of f (). (€)

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Q: 2x+ 1 Let f(x) = Compute f (2). 3x - 2 O A. 0 O B. -2 OC. 1 O D. 1 3 O E. 2 3.

A: Just I have used the quotient rule of derivative and easily find the required solution. Option (B)…

Q: If f(x) = 2x + 1 and g(x) = x², Find g(ƒ(3)) a. 49 b. 19 a O b O O d C. d. 7 13

A: To find the value of the composite function g(f(x)) at x =3.