SOLUTION: if f(x)=x^2+9 for x>0 A) Find the inverse showing work B) What is the range of f? I need to know how to do this, please help.

Question 443206: if f(x)=x^2+9 for x>0
A) Find the inverse showing work
B) What is the range of f?
I need to know how to do this, please help.
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
To find the inverse, solve for x and then switch x and y.

Switch the variables (ignore 0, its there as a placeholder)

What values of x make this undefined? Well, in order for this function to be defined, . So will give us undefined values. Thus the domain is
========================
Notice this relationship. The domain of the inverse is the same as the range of the original function.
====================
If our domain of our inverse is , then the range of our original function would be .
====================
Hope this helped!
RELATED QUESTIONS
State the domain and range of f^-1 (x), given f(x)=(x-1)^2 +2 ** Please note their... (answered by Nate)

Please help me with this problem. From what I know, if a function f(x) is going to have... (answered by math_tutor2020)

State the domain and range of f^-1 (x) given a) f(x)= x+3 This is what I have tried... (answered by Nate)

Find (a) (f o g)(x) and the domain of f o g and (b) (g o f)(x) and the domain of g o f.... (answered by stanbon)

I cant find these again.....I am stuck...Can someone help me Here is the problems and I... (answered by solver91311)

PreCalculus! Give the domain and range of f(x)=sin(inverse)x I know how to do... (answered by stanbon)

Could you please help me with this problem? I am given the function f(x)= x^2 + 2x + 6... (answered by solver91311,Theo)

1. If f(x)=x^2+2, find f^-1(3) A. +-1 B. +-sqrt3 C. 11 D. 3 2. Identify the... (answered by rothauserc)