QuestionFor $f(x)=2 x-4$ and $g(x)=2 x^{2}-1$, find the following functions. a. $(f \circ g)(x) ; b \cdot(g \circ f)(x) ; c \cdot(f \circ g)(-1) ; d .(g \circ f)(-1)$ a. $(f \circ g)(x)=$ $\square$ (Simplify your answer.)

Studdy Solution
Evaluate $(g \circ f)(-1)$.
Substitute $x = -1$ into $(g \circ f)(x) = 8x^2 - 32x + 31$: $$(g \circ f)(-1) = 8(-1)^2 - 32(-1) + 31 = 8 + 32 + 31 = 71$$
Solution:
a. $(f \circ g)(x) = 4x^2 - 6$
b. $(g \circ f)(x) = 8x^2 - 32x + 31$
c. $(f \circ g)(-1) = -2$
d. $(g \circ f)(-1) = 71$