If f (x + y) = f (x) + f (y) and f(1) = 3, find f (2), f (3), and f (4). Is f (x + y) = f (x) + f (y) for all functions?

Q: The functions f and g are defined as f(x) = 2x – 1 and g(x) = x² +1. Which of the following…

A: h(x) = g(f(x)) is called composite function of f(x) and g(x).  Here the value of of function f(x) is…

Q: If f(x) = (5x – 3)+/3, find f- (x)

A: We have to find inverse function

Q: If f (x) = x3 + x2 - x - 1, find f (1), f (-1), f (12 ), and f (a).

A: We have given  fx=x3+x2-x-1

Q: The function f (x) = x4 +x2 +x is an evenfunction. Justify your answer.

A: fx=x4+x2+x A function fx is said to be an even function if f-x=fx.

Q: Given the function f(x)=x² + 1, determine the value of f(f(3))

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Q: Given the function f(x)=x*2+x-1, what is the value of f(2)?

A:

Q: Evaluate the function for f(x) = x + 3 and g(x) = x2 − 2. (fg)(9)=

A: Given that f(x)=x+3 And g(x)=x2-2 We will find (fg)(9)

Q: If f(x) = x + 4 and g(x) = 4x − 1,  Find (f ∘ g)(x)

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Q: Let f(x) = x - x. What is the simplest form of , h70? h

A: Please refer to the image below

Q: Find f.g, g. f, and g. g. f(x) = x + 4, g(x) = x - 9 (a) f.g (b) g.f

A: Explanation and solutions is given below....

Q: Suppose the functions g and f are defined as follows. h(x) = -5+ 4x2 g (x) = 4 – 9x (ə) Find (4)…

A: Given that, h(x)=-5+4x2 and g(x)=4-9x. Part (a) The value of hg(x) is same as hg(x)=h(x)g(x)…

Q: Evaluate the indicated function for f(x) = 6x +3 and g(x) = 5x² − 1 a. (f + g)(3) b. (fg)(0)

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Q: If f(x+y) =f(x) +f(y) and f (1) =3, find f(2), f(3), and  f(4). Is f(x+y) =f(x) +f(y) for all…

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Q: If f(x) = x + Vx + 5, find all values of x for which f(x) = 7.

A: Given, fx=x+x+5 and f(x)=7

Q: Use f(x) = 2x - 8 and g(x) = 4-x´ to evaluate fAg(-1)). %3D Find f (g (x)) for f (x) = 7x + 7 and…

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Q: Let f (x) = x² and g (x) = 2x - 4. Find the following: (a) f(3) + g (3) = (b) f(3) g (3) = (c) (d)…

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Q: f f(x) =    x − 5  − 4x, find f(5), f(9), and f(14)

A: Givenf(x)=x-5-4x