If f(x)=x-3 and g(x) Find f(0)+g(0) 6. a. then ) al

Q: 2. Given g(x) = (3x+ 2)(x- 2), determine each value. a) g(0) b) g(-1) c) g(1/2)

A: The given function,   g(x)=3x+2x-2

Q: b) Find f(")(x) is f(x) =

A: The derived function is a function f  where f'(x) is the derivative of f at x, is the derived…

Q: Define f (x) = 4+ x – x² and g(x) = 5x – 3. Define f(x) - - (f o g)(x) = (go f)(x). True False

A:

Q: Express the function h(x) 4 in the form h(x) = (ƒ o g)(x) where f(x) # x and g(x) # x. 1+ e0.4x а)…

A:

Q: 1. Given the functions, f(x) = and, g(x) a. Find fAg(4)). VT. = Vx. b. Find (g(x)). %3D %3D x+5 c.…

A:

Q: E. Find (f • g)(x), (g• f)(x) and (f • g)(2) 1. f(x) = 2x g(x) = x +5

A: The functions are given by fx = 2xgx = x+5 To evaluate: The expressions of f∘gx , g∘fx and the value…

Q: Let f(x) = Vr - 5, g(x) = , h(a) = , Find go((gof)+h(x)) at x=-1? 2-9'

A:

Q: 6. Use algebra to determine whether the given functions are is even, odd or neither a) f(x) = -x³ +…

A: For a given function f(x)  If it satisfies the condition  f(-x) = f(x), then the function is Even.…

Q: 1. Let f(x) = x? – 1 and g(x) = x² +x – 6. (a) Find (f – 9)(x) (b) Find (x) and give its domain. (c)…

A: R is the set of all real numbers

Q: 6.Given f(x)= 3x – 2 and g(x)= x2 – 5x, find f(-1)+g(2)

A: The given functions are: fx=3x-2 and gx=x2-5x To find f-1 replace x with -1 in fx=3x-2 and similarly…

Q: Consider these functions. 1) Evaluate (f + g)(2). f(x) = 3x² – 5 g(x) = Vx - 2 A) -1 B) 0 C) 3 D) 7…

A: we have the given functions  f(x)=3x2-5 g(x)=x-2 1) (f+g)(2)=f(2)+g(2)…

Q: 5. For f(x) = 2x - 1 and g(x) = x² - 2x, find: (A) f(-2) + g(-1) (C) g(2) f(3) (B) f(0) g(4) f(3)…

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Q: find 1- 2x f(x). 3 12). f(-2), f). fla), f(-а). f(la — 1)

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Q: 3. Given f(x) = x²?+ 2x and g(x) = 2x - 10, determine: a) (f + g) (x) g(x) b) c) (f og)(x) f(x)

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Q: A function f is defined by f(x) = 3x + 1. Find the following. (a) f(0) (b) f(4) f(-2)

A:

Q: Suppose f is a real function satisfying f(x + f(x)) = 4ƒ(x) and ƒ(1) = 4. What is ƒ(21)? f(21)=

A: Suppose f is a real function satisfying f(x+ f(x))= 4f(x) and f(1) = 4, what is f(21)?

Q: Find where f(x) = 1-ax x(x-a)(x+b) is discontinuous.

A:

Q: 1. Let f(r) and g(a) 4x + 1. 4 Then (f o g)(6) (ƒ o g)(x)

A: We have to find function

Q: If f(x)=2x+3 and g(x)=x2, then what does f(g(2)) equal? (Hint: Compute g(2) and input its result…

A:

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

A: Explained below..

Q: 5. If f(x) = (r+ 1)(x-2) x-2 and g(x) = x+1, does f(x) = g(r)? Explain.

A:

Q: 1 Let f(x) and g(x) = 4x + 5. - 4 | Then (f o g)(6) (f o g)(x) =

A: The solution is given below :

Q: 7. Find g(f(g(5)) given that f(x)=4x+3 and g(x)=x-2.

A:

Q: Let f(x) = - 10x + 5. Find 1(2) f ¹(3). 2 (Simplify your answer.)

A: This question can be solved using the concept of functions.

Q: f(x+h)-f(x) The difference quotient is defined as where h + 0. Find m for f(x) = x² – 9

A: Difference equation