Answer:
[tex]-9x^2[/tex]
Step-by-step explanation:
Composition of two functions can be obtained by replacing inner function in place of x of outer function and then plugging back the actual value of inner function f(x) and then simplifying it gives g(f(x)) which is usually called gof(x) .
f(x) = -[tex]-3x^2[/tex]
g(x) = 3x
g(f(x) ) = 3 f(x)
=3 ([tex]-3x^2[/tex])
= [tex]-9x^2[/tex]
Answer:
-9x²
Step-by-step explanation:
We have given two functions.
We have to find their composition.
f(x) = -3x² and g(x) = 3x
(gof)(x) = g(f(x)) = ?
Firstly , we have to put the value of f(x) in g(f(x)).
Putting given values, we have
g(f(x)) = g(-3x²)
g(f(x)) = 3(-3x²)
g(f(x)) = -9x² which is the answer.
