Question

Given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3.

Answer 1

A warm welcome to OpenStudy!
What you're dealing with here is a 'composite function.' The second function, g(x), becomes / is used as the input to the first function, f(x).

One way of visualizing this operation follows:
Write f(x) = 2x + 5, without the x. Substitute ( ) for each x.

Next, fill each set of parentheses with the following : g(x) = x - 7. Please try it. I'll be back.