You can put this solution on YOUR website! Let f(x)=2x^2-9 and g(x)=x-7.
a) Find the composite function (f o g) (x)
(fog)(x) = 2(x-7)^2-9
(fog)(x) = 2(x-7)(x-7)-9
(fog)(x) = 2(x^2-14x+49)-9
(fog)(x) = (2x^2-28x+98)-9
(fog)(x) = 2x^2-28x+89
.
b) (f o g) (5)
(fog)(x) = 2x^2-28x+89
(fog)(5) = 2(5)^2-28(5)+89
(fog)(5) = 2(25)-140+89
(fog)(5) = 50-140+89
(fog)(5) = -90+89
(fog)(5) = -1
