If f(g(x))=16x+7, g(x)=2x-1 find f(x) PLEASE HELP?

Question

can someone please show me the steps to solving this problem?

Answer 1

I disagree with j g but he may be right

f(g(x)) = 16(2x-1) + 7

         =  32x -16 + 7

         = 32x - 9

Answer 2

f(g(x))=16x+7 and you know that g(x)=2x-1.

Then f(2x - 1) = 16x + 7.  f(x) can take on many possibilities.

One such possibility is f(x) = 8x+15



f(2x - 1) = 8(2x - 1) + 15

f(2x - 1) = 16x - 8 + 15

f(2x - 1) = 16x + 7  

So f(x)= 8x + 15 is one possible answer.

Hope this helps.