Question

Given f(x)=5x+2 and g(x)=-3x-4, find the following: a. f(g(0))

b. f(f(3))
c. (g of)(0)
d. (g o g)(2)

Answer 1

9514 1404 393

Answer:

a. -18

b. 87

c. -10

d. 26

Explanation:

For evaluating functions with different arguments, I find a calculator to be helpful.

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If you want to do this by hand, put the argument value where the variable is and do the arithmetic. It is helpful to know that

`(f\circ g)(x)=f(g(x))`

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For example, ...

a. f(g(0)) = f(-3(0) -4) = f(-4) = 5(-4) +2 = -18