SOLUTION: Let f(x)=x^2+x and g(x)=2x+1. Find and simplify the following: . a) (g o f)(x) . b) (f o g)(x) -- the o is colored in. . c) (f+g)(2) . d) (f-g)(3)

Algebra ->  Functions -> SOLUTION: Let f(x)=x^2+x and g(x)=2x+1. Find and simplify the following: . a) (g o f)(x) . b) (f o g)(x) -- the o is colored in. . c) (f+g)(2) . d) (f-g)(3)       Log On


   

Question 4498: Let f(x)=x^2+x and g(x)=2x+1. Find and simplify the following:
.
a) (g o f)(x)
.
b) (f o g)(x) -- the o is colored in.
.
c) (f+g)(2)
.
d) (f-g)(3)








Answer by pushpaharan(47) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=x^2+x and g(x)=2x+1
a) (g o f)(x) = 2(x^2+x)+1 = 2x^2+2x+1
.
b) (f o g)(x)= (2x+1)^2 + 2x+1 = 4x^2+4x+1 + 2x+1 = 4x^2+6x+2
.
c) (f+g)(2) = x^2+x +2x+1 = x^2 + 3x+1 = 2^2+ 3*2+1 =11
.
d) (f-g)(3) = x^2+x -2x-1 = x^2 -x-1 = 3^2-3-1= 5