Question
Given the definitions of f(x) and g(x) below, find the value of (g f) (1). f(x) = -3x+3 g(x) = 2x^2+4x-8
Answers
GPT 3.5
To find the value of (g f)(1), we first find f(1) and plug that result into g(x).
f(1) = -3(1) + 3 = -3 + 3 = 0
Now, we plug f(1) into g(x):
g(0) = 2(0)^2 + 4(0) - 8 = 0 + 0 - 8 = -8
Therefore, (g f)(1) = (g f)(1) = -8.
f(1) = -3(1) + 3 = -3 + 3 = 0
Now, we plug f(1) into g(x):
g(0) = 2(0)^2 + 4(0) - 8 = 0 + 0 - 8 = -8
Therefore, (g f)(1) = (g f)(1) = -8.