Question

Find the indicated function given f(x)=3x^2-1 and g(x)=2x+4. When typing your answer if you have an exponent then use the carrot key ^ by pressing SHIFT and 6. Type your simplified answers in descending powers of x an do not include any spaces between your characters.

Answer 1

The indicated function is:

f(g(x)) = f(2x + 4) = 3(2x + 4)^2 - 1 = 3(4x^2 + 16x + 16) - 1 = 12x^2 + 48x + 47

So, f(g(x)) = 12x^2 + 48x + 47