If #f(x) = 4x^2 + 3x+7# and #g(x) = 3x-5#, what is #(g@f)(x)#?
1 Answer
Feb 27, 2016
Explanation:
What this means is substitute x
# = 4x^2 + 3x + 7 " for x in g(x)"# Another way of writing (g ￮ f)(x) is g(f(x))
#g(f(x)) = g( 4x^2+3x+7) = 3(4x^2+3x+7) - 5 #
#rArr(g￮f)(x) = 12x^2 +9x+21 - 5 = 12x^2 + 9x + 16 #
