SOLUTION: Find the inverse of the function, if it exists. Justify if is does not. 1.p(x)=3x+8 2.f(x)=x²+2x - 1 3.g(x)=2x+7 4.f(x)=x³ - 5 5.h(x)=x+2/2x - 3

Algebra.Com
Question 1186178: Find the inverse of the function, if it exists. Justify if is does not.
1.p(x)=3x+8
2.f(x)=x²+2x - 1
3.g(x)=2x+7
4.f(x)=x³ - 5
5.h(x)=x+2/2x - 3

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
Find the inverse of the function, if it exists. Justify if is does not.
1.

......swap variables
...solve for


=>'


2.
.....swap variables

...complete square
.........b=1




±
' ±


3.
.....swap variables



'


4.
...swap variables



'


5.
...swap variables






'

RELATED QUESTIONS

Given that f(x)= x2(squared) - 3 and g(x) 2x +1, find each of the following if it exists. (answered by josgarithmetic)
Find the inverse of the function. IF the function does not have inverse write NO INVERSE. (answered by Fombitz)
Find the following f[g(x)] if f(x)=3x-7 and... (answered by John10)
find the following g[f(x)] if f(x)=3x-7 and... (answered by Gogonati)
If f(x) = {(2, 3), (4, 8), (7, - 1)} and g(x) = {(8, 2), ( - 1, 4), (2, 7)}, find... (answered by math_tutor2020)
given that f(x)=x^2-1 and g(x)=3x+3, find (g-f)(8), if it exists. (g-f)(8)= or... (answered by josgarithmetic)
f(x)=2x-7 and f^-1(x)= x+7/2, find f(f^-1(x)) if it... (answered by stanbon)
Please can someone help me solve the following. I would really appreciate some help.... (answered by stanbon)
The given function is f(x) = 2x^2 and g(x) = 3x+1 Find: 1.) f(x)^2 2.)... (answered by CubeyThePenguin)