Question

Let f(x) = 5x - 10 and g(x) = x2 - 7. Find f(g(8)).

Answer 1

275

Explanation:

First, find g(8).

g(x) = x^2 - 7

g(8) = 8^2 - 7

g(8) = 64 - 7

g(8) = 57

Now find f(g(8)).

f(x) = 5x - 20

f(g(8)) = f(57)

f(57) = 5(57) - 10

f(57) = 285 - 10

f(57) = 275

Answer: f(g(8)) = 275

Answer 2

275

Explanation:

g(x) = x²-7 ⇒ g(8) = 8² - 7 =57

f(x) = 5x -10 ⇒ f(g(8)) = f(57) = 5.57-10 = 275