If f ( x ) = 2x - 9 and

estadsocm3

estadsocm3

Answered question

2022-01-24

If f(x)=2x9andg(x)=(x+1)2, what is the composite function f(g(x))

Answer & Explanation

Addison Kirk

Addison Kirk

Beginner2022-01-25Added 5 answers

Start by putting g(x) into that:
f(g(x))=f((x+1)2)
Now, if f(x)=2x9, then anything can fit inside x and be put into the equation.
Let's set variable k=(x+1)2 and fit it inside f(x):
f((x+1)2)=f(k)=2k9
Now we just replace k with (x+1)2
f(k)=2k9=2(x+1)29
Since essentially k=(x+1)2=g(x), we now have
f(k)=f(g(x))=2(x+1)29
If asked to expand, do so:
f(g(x))=2(x+1)29=2(x+1)(x+1)9
=2(x2+x+x+1)9=2(x2+2x+1)9
=2x2+4x+29=2x2+4x7
So we have:
f(g(x))=2(x+1)29=2x2+4x7

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?