Answer:
(g – f)(3) = 23.
Step-by-step explanation:
Given : f(x) = 4 – x² and g(x) = 6x .
To find : which expression is equivalent to (g – f)(3).
Solution : We have given f(x) = 4 – x² and g(x) = 6x .
(g – f)(3) = g (3 ) - f(3) .
g(x) = 6x
Plug x = 3 .
g(3) = 6 *3 .
g(3) = 18.
For f(x) = 4 – x².
Plug x = 3
f( 3) = 4 – (3)².
f(3) = 4 – 9.
f(3) = –5.
Then , (g – f)(3) = g (3 ) - f(3) .
Plugging the values
(g – f)(3) = 18 - (-5) .
(g – f)(3) = 18 + 5.
(g – f)(3) = 23.
Therefore, (g – f)(3) = 23.
