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
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.
We have: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: . y + 1)\ln(2) " alt="\ln(x - 4)\:=\:\ln(2^{y+1})\quad\Rightarrow\quad \ln(x - 4)\:=\y + 1)\ln(2) " />
Then: .
Therefore: .
We have: .
Switch: .
Solve for y: .
Take cube roots: .
Then: .
Therefore: . . . . or: