ANSWER
d. 6
EXPLANATION
The given functions are
[tex]f(x) = - 2x + 8[/tex]
and
[tex]g(x) = 3x[/tex]
We find
[tex](g \circ f)(x) = g(f(x))[/tex]
[tex](g \circ f)(x) = g( - 2x + 8)[/tex]
[tex](g \circ f)(x) = 3( - 2x + 8)[/tex]
[tex](g \circ f)(x) = - 6x + 24[/tex]
We now substitute x=3
[tex](g \circ f)(3) = - 6(3) + 24[/tex]
This gives us
[tex](g \circ f)(x) = - 18 + 24[/tex]
[tex](g \circ f)(3) = 6[/tex]
The correct choice is D.
