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

[Andolph23]

Homework Statement

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

The Attempt at a Solution

I haven't done a problem like this in awhile so I don't 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.

Homework Statement

 

[BloodyFrozen]

Homework Statement

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

The Attempt at a Solution

I haven't done a problem like this in awhile so I don't 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.

Homework Statement

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 Didn't even think of that.