Question

For FX equals 3X +1 and GX equals X squared -6 find FG

Answer 1

3x² - 17

Explanation:

f(x) = 3x +1

g(x) = x² - 6

f(g(x)) = f(x² - 6)

Now (x² - 6) is the (x) for function f.

=> f(x) = 3x +1 = 3(x² - 6) + 1 = 3x² - 18 + 1

=> 3x² - 17