SOLUTION: Let f(x)=2x^2-9 and g(x)=x-7. a) Find the composite function (f o g) (x) b) (f o g) (5)

Question 953740: Let f(x)=2x^2-9 and g(x)=x-7.
a) Find the composite function (f o g) (x)
b) (f o g) (5)
Answer by nerdybill(7384) (Show Source): 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

RELATED QUESTIONS
let f(x)= 2x^2 -7 and g(x) =x-4 a. find the composite function (f o g)(x) and... (answered by josgarithmetic)

Let f (x) = 4x^2 + 9 and g(x) = x � 3 (a) Find the composite function ( f o g)(x) and... (answered by stanbon)

Let f(x)=x^2+x and g(x)=2x+1. Find and simplify the following: . a) (g o f)(x) . (answered by pushpaharan)

Let f (x) = 5x^2� 6 and g(x) = x � 2. (a) Find the composite function ) ( f o g)(x)... (answered by Cromlix)

let F(x) = 2x^2 - 5 and G(x) = 1-x find the function (F o... (answered by josgarithmetic)

composite and inverse funtion: Find: (f o g)(3) f(x)= 2x g(x)=... (answered by stanbon)

Let f(x)=x^2 and g(x)=x-5 find: a. (f o g)(x)= b. (g o f)(x)= c. (f o... (answered by stanbon)

Find: a.) F o G b.) G o F c.) F o F d.) G o G also find the domain of each composite (answered by stanbon)

Let f(x)=x^2+x and g(x)=2x+1. Find and simplify the following: . a) (g o f)(x) . b)... (answered by glitzgirl_14)