Find the inverse of the function f(x)=−2*4^(2(x−3))−1.

phoreeldoefk

phoreeldoefk

Open question

2022-08-26

Find the inverse of the function
Find the inverse of the function f ( x ) = 2 4 2 ( x 3 ) 1

Answer & Explanation

Kingston Oliver

Kingston Oliver

Beginner2022-08-27Added 4 answers

Hint
Try to express x with y and you find
y = f ( x ) = 2 4 2 ( x 3 ) 1 x = 1 2 log 4 ( y + 1 2 ) + 3
Angela Arnold

Angela Arnold

Beginner2022-08-28Added 2 answers

The inverse of a function is found by substituting y for x and vice versa. So, we alter our equation to look like this:
x = 2 4 2 ( y 3 ) 1
and solve for y.
x + 1 = 2 4 2 ( y 3 )
x + 1 2 = 4 2 ( y 3 )
l o g 4 ( x + 1 2 ) = 2 ( y 3 )
l o g 4 ( x + 1 2 ) 2 = y 3
y = l o g 4 ( x + 1 2 ) 2 + 3
Therefore, f ( x ) 1 = l o g 4 ( x + 1 2 ) 2 + 3

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?