Question

Perform the required operations on the following functions Given: f(x)= 3-x; g(x)= -2x Find g[f(x)]

Answer 1

ANSWER

$g(f(x)) = 2x - 6.$


EXPLANATION

The given functions are;

$f(x) = 3 - x$
and

$g(x) = - 2x$


We now find

$g(f(x)) = g(3 - x)$


We plug in f(x) into g(x) to get,


$g(f(x)) = - 2(3 - x)$



We expand parenthesis to get,


$g(f(x)) = - 6 + 2x$


Or


$g(f(x)) = 2x - 6$