Write the inverse of f -1(x) =f(x)=6^(x) f^(-1) (x)= Choices: log_(6) y\\log_(6) x\\log_(x) 6

Question

Write the inverse of

f -1(x) =
`f(x)=6^(x)`


`f^(-1) (x)=`

Choices:

`log_(6) y\\log_(6) x\\log_(x) 6`

Answer 1

The inverse of a function can be found by swapping the roles of the independent variable and the dependent variable. In this case, the given function is f^(-1)(x).

To find the inverse, we replace f^(-1)(x) with y:

y = f^(-1)(x)

Next, we swap the roles of x and y:

x = f^(-1)(y)

Finally, we solve for y to obtain the inverse function:

f^(-1)(y) = x

Therefore, the inverse of f^(-1)(x) is f(x).

Explanation:

Hope this helps <3