# Given #f(x) = 2x - 5# and #g(x) = 2x^2 + 7# how do you find f(g(x))?

##### 1 Answer

Jan 25, 2016

#### Explanation:

#f(x) = 2x - 5#

#g(x) = 2x^2 + 7#

To find

#f(color(blue)(x)) = 2color(blue)(x) - 5#

#f(g(x)) = f(color(blue)(2x^2+7)) = 2 (color(blue)(2x^2+7)) - 5 #

#= 4x^2 + 14 - 5 = 4x^2 + 9#