Question

Plz help me i need it

Answer 1

Answer:
`\bold{c)\quad f^(-1)(x)=(ln(x))/(2)}`

Explanation:

Inverse is when you swap the x's and y's and solve for y. Note: f(x) is y

`y=e^(2x)\\\\\text{Swap the x's and y's:}\\x=e^(2y)\\\\\text{Apply ln to both sides:}\\ln\ x=ln\ e^(2y)\\\\\text{ln e cancels out}\\ln\ x=2y\\\\\text{Divide both sides by 2:}\\(ln\ x)/(2)=y`