How would I find out the inverse for these equations?

F(x) = 2√(x+3)

G(x) = 2^(x+1)+4

Y= 2(x-5)^3

Printable View

- Jun 1st 2006, 05:21 PMtakkun0486Inverse Equation
How would I find out the inverse for these equations?

F(x) = 2√(x+3)

G(x) = 2^(x+1)+4

Y= 2(x-5)^3 - Jun 1st 2006, 07:26 PMSoroban
Hello, takkun0486!

Do you know the procedure for finding an inverse function?

[1] Replace the function with*y*.

[2] "Switch" the x's and y's.

[3] Solve for y.

Quote:

How would I find out the inverses for these functions?

"Switch":

Solve for*y*: .

Square: .

Then: .

Therefore: .

We have: .

Switch: .

Solve for*y*: .

Take logs: .

Then: .

Therefore: .

We have: .

Switch: .

Solve for*y*: .

Take cube roots: .

Then: .

Therefore: . . . . or: