Find the composition for given functions

Question

For the given functions f and g, find the composition

F(x) =x² + 3x; g(x) square root x

Find (g°f)(6)

Answer 1

You can think of this as the result of f(6) sent through the function of g, so:

Square root of f(6) = sqrt(6² +3•6) = sqrt(36+18) = √54

Remove the factor of 54 that is a perfect square, 9, to simplify, and you're left with 3•sqrt (6) or 3√6.

Hope this helps,

Todd