SOLUTION: b) Given the functions f(x) is 3x^2-5 and g(x) is 4+2x, find the following (i) (fog) (2) (ii) g(^-1)

SOLUTION: b) Given the functions f(x) is 3x^2-5 and g(x) is 4+2x, find the following (i) (fog) (2) (ii) g(^-1)

Algebra.Com

Question 1070381: b) Given the functions f(x) is 3x^2-5 and g(x) is 4+2x, find the following
(i) (fog) (2) (ii) g(^-1)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
f o g=3(4+2x)^2-5
can put 2 in right here for x
3(4+4)^2-5
3(64)-5=187.
--------------
g^(-1):
y=4+2x
x=2+4y, solve for y
4y=x-2
y=(1/4)(x-2)=g^(-1)
RELATED QUESTIONS
Given the function f(x)=3x^3-1, find f^(-1) f(x)=3x^3-1 find f^-1(x) Given the... (answered by longjonsilver)

Directions: Perform the indication operation in the following functions. Show your... (answered by Alan3354)

Hi for the given functions f and g find the composition.. f(x) =7x^2+5x; g(x)=3x find... (answered by Alan3354)

Given the following functions: f(x) = 3x^2 - 6x=5 and g(x) = x^2 + 5x-2, evaluate... (answered by Fombitz)

find (fog)(x) for the functions defined by f(x)=2x+1 and... (answered by nerdybill)

3.15 For f(x)=6x and g(x)=x+1, find the following functions: a. (fog)(x)= b.... (answered by Cromlix)

Given f(x)=3x+1 and g(x)=1/2, what is the domain of f,g &... (answered by venugopalramana)

This is coming from the University of Houston online textbook, section 3.6 #39, if that... (answered by stanbon)

find (fog)(x)and the domain of fog when f(x)=3x=5/2,... (answered by stanbon)