Question

Plz help me i need it

Answer 1

Answer:
`\bold{d)\quad f^(-1)(x)=(e^x)/(5)}`

Explanation:

To find the inverse, swap the x's and y's and solve for y. Note: f(x) is y

`y = ln(5x)\\\\\text{Swap the x's and y's:}\\x=ln(5y)\\\\\text{Apply e to both sides:}\\e^x=e^(ln(5y))\\\\e^(ln)\ \text{cancels out:}\\e^x=5y\\\\\text{Divide both sides by 5:}\\(e^x)/(5)=y\\\\\large \boxed{f^(-1)(x)=(e^x)/(5)}`