Question

Which of the following points lies on the graph of the inverse of f(x) = 6^(x + 1)?

Answer 1

f ( x ) = 6^(x+1)
y = 6^(x+1)

`x+1=log _(6)y \\ x = log _(6)y-1`
The inverse is:

`y = log _(6)x`
And when you plug in the values: x = 1, y = - 1:
- 1 = log 1 - 1
- 1 = 0 - 1
- 1 = - 1
so the answer is:
( 1, - 1 )