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.`


Step-by-step 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`