What is the inverse of the function below? f(x) = 2^x + 6

f^-1 (x) = log 2 (x-6)

Step-by-step explanation:

The inverse of this function would be f(x) = .

You can find the value of any inverse function by switching the f(x) and the x value. Then you can solve for the new f(x) value. The end result will be your new inverse function. The step-by-step process is below.

f(x) = - 6 ----> Switch f(x) and x

x = - 6 ----> Add 6 to both sides

x + 6 = -----> Take the logarithm of both sides in order to get the f(x) out of the exponent

Log(x + 6) = f(x)Log2 ----> Now divide both sides by Log2

= f(x) ----> And switch the order for formatting purposes.

f(x) =

And that would be your new inverse function.

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step-by-step explanation:

really really sorry if i'm

-12 -5(x + 4) = 3x

-12 - 5x - 20 = 3x

-12 - 20 - 5x = 3x

-32 - 5x = 3x

    + 5x   + 5x

-32 = 8x

8         8

- 4= x