Find the composition of the two functions f(g(x)) f(x)=x^2 g(x)=x-3

Question

asked Sep 3, 2021 222k views

1 Answer

Rapture · Answer 1 · 2021-09-07T13:22:03+0000

Answer:

See below.

Explanation:

So we have the two functions:

$f(x)=x^2\text{ and } g(x)=x-3$

And we want to find:

f(g(x))

So, substitute g(x) into f(x):

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

And we're done!

If preferred, we can expand:

f(g(x))=x^2-6x+9