Question

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

Answer 1

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`