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)

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  a. -18

  b. 87

  c. -10

  d. 26

Step-by-step 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

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For example, ...

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

answer:

c) the x-coordinate of the center of the circle increases by 3