To determine
To find: Find the inverse function f-1.
Answer
The inverse function is f-1x=log3x+42
Explanation
Calculation:
Given: y=32x-4
To find the inverse function f-1, we first write the function as . y=32x-4.
Since, ay=x⇔logax=y. Therefore, log3y=2x-4
x=log3y+42
We interchange x and y:
y=log3x+42
Therefore, the inverse function is
f-1(x)=log3x+42
Final statement:
The inverse function is f-1x=log3x+42