Question

Worth points! I don’t understand how to determine if two given function are inverse of each other. Please help in showing work.

fx= 3^√x−5
​
​​ gx=x^3​​ +5

Answer 1

Yes, they are inverse functions.

Explanation:

To determine if two functions are inverses of one another, put one in for the x in the other. If the result is f(x) = x, then they are inverses.

f(x) =
`\sqrt[3]{x-5}`

f(x) =
`\sqrt[3]{(x^3 + 5)-5}`

f(x) =
`\sqrt[3]{x^3}`

f(x) = x

So therefore, they are inverse of each other.