SOLUTION: Hello, i am having trouble solving for a function while studying. the example given is: "find the inverse of the function f(x)= 1/x+2 a. y=1/x+2 b.____=1/y+2 c.x(y+2)=1 d._

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Question 979132: Hello, i am having trouble solving for a function while studying. the example given is:
"find the inverse of the function f(x)= 1/x+2
a. y=1/x+2
b.____=1/y+2
c.x(y+2)=1
d.____=1/x
e.y=1/x-2=f^-1(x)
thank you for your help so much
Found 2 solutions by htmentor, MathTherapy:
Answer by htmentor(1343) (Show Source):
You can put this solution on YOUR website!
To find the inverse function, substitute y for x, and then resolve for y:
y = 1/(x+2) -> x = 1/(y+2)
y+2 = 1/x
y = 1/x - 2
Ans: e

Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!
Hello, i am having trouble solving for a function while studying. the example given is:
"find the inverse of the function f(x)= 1/x+2
a. y=1/x+2
b.____=1/y+2
c.x(y+2)=1
d.____=1/x
e.y=1/x-2=f^-1(x)
thank you for your help so much

It appears as though the steps to finding the inverse of the function is laid out

a. ---------- Substituting y for f(x)
b. ---------- Interchanging x and y
c. x(y + 2) = 1 -------- Cross-multiplying in order to isolate y
d.
------------ Isolating y
e. ---- Replacing y with

SOLUTION: Hello, i am having trouble solving for a function while studying. the example given is: "find the inverse of the function f(x)= 1/x+2 a. y=1/x+2 b.____=1/y+2 c.x(y+2)=1 d.__

SOLUTION: Hello, i am having trouble solving for a function while studying. the example given is: "find the inverse of the function f(x)= 1/x+2 a. y=1/x+2 b.__=1/y+2 c.x(y+2)=1 d.