Question

f(x) = 3^x-9. find the inverse of f(x). ASAP I NEED HELP LAST QUESTION AND 15 MINS LEFT

Answer 1

Answer:

A

Step-by-step explanation:

Given :

• f(x) = ³√[ x - 9 ]

And we need to find the inverse of the given function. We can do it by Firstly Interchanging x and y.

So that ,

$:\implies$ f(x) = y

$:\implies$ y = ³√[ x - 9 ]

$:\implies$ x = ³√[ y - 9 ]

$:\implies$ x³ = y - 9

$:\implies$ y = x³ + 9

$:\implies$ f-¹(x) = x³ + 9

Hence option A is correct .