Question

f(x) = x-3/8; g(x) = 8x + 3, find g(f(x)).

Answer 1

\(g(f(x)) = 8\left(\dfrac{x - 3}{8}\right) + 3 = x - 3 + 3 = x\)

Answer 2

Why did you just multiply it by 8 instead of the entire equation 8x+3?

Answer 3

You mean why did I put \(\dfrac{x - 3}{8}\) in place of \(x\) in \(8x + 3\) ?

Answer 4

The 8 cancels it out ..
8(x-3)/8
you can cancel the two of them out.

Answer 5

Ohh I see what you did! I thought it was supposed to be the opposite way. Thanks!

Answer 6

It's fine. I still understand what you were trying to do. Thanks again! :)