Question

Given the definitions of f(x) and g(x) below, find the value of f(g(-1)).

f(x) = 4x + 14
g(x) = 3x2 + 5x – 6

Answer 1

-18

Explanation:

`f(x) = 4x+14\\g(x) = 3x^(2) + 5x -6\\f(g(x)) = 4(3x^(2) + 5x -6)+14 \\f(g(-1)) = 4(3(-1 ^(2)) + 5(-1) -6) +14 \\\\= 4(3 - 5 - 6) + 14\\= 4 (-8) + 14\\= - 32 + 14 \\= -18`