If (f o g)= 16x + 7 and g(x)= 2x - 1 , find f(x)

[Andolph23]

1. The problem statement, all variables and given/known data

If (f o g)= 16x + 7 and g(x)= 2x - 1 , find f(x)


3. The attempt at a solution

I haven't done a problem like this in awhile so I dont remember exactly what to do. I think you plug g(x) into (f o g) to get 32x - 9 but I'm not sure if that's correct.
1. The problem statement, all variables and given/known data

[BloodyFrozen]

1. The problem statement, all variables and given/known data

If (f o g)= 16x + 7 and g(x)= 2x - 1 , find f(x)


3. The attempt at a solution

I haven't done a problem like this in awhile so I dont remember exactly what to do. I think you plug g(x) into (f o g) to get 32x - 9 but I'm not sure if that's correct.
1. The problem statement, all variables and given/known data

If this is correct, you should try f(g(x)) and see if you get what it was originally

P.S. Notice your trying to get f(x)

[eumyang]

Suppose that f(x) = Ax + B, a linear function. Given that, and that g(x) = 2x - 1, what is (f o g)(x)?
(Ignore for a moment that (f o g)(x) was already given.)

P.S. This should really be in the Precalculus subforum.

[SammyS]

What is (f○g○g-1)(x) ?

[BloodyFrozen]

What is (f○g○g-1)(x) ?

Wow, your good:wink: Didn't even think of that.