Answer:
[tex]f(x) = x + 4[/tex]
[tex]g(x) = 3x^2 - 5[/tex]
Step-by-step explanation:
Given
[tex]g(f(x)) = 3(x + 4)^2 - 5[/tex]
Required
Find g(x) and f(x)
Replace all expression in bracket with x
[tex]g(x) = 3(x)^2 - 5[/tex]
[tex]g(x) = 3x^2 - 5[/tex]
The expression removed from bracket are:
f(x) and x + 4
So:
[tex]f(x) = x + 4[/tex]
