Question

Find the inverse of each function. y=log (x-6)

Answer 1

The inverse of the function y = log(x ₋ 6) is y = 10ˣ + 6.

Given the function is :y = log₁₀ (x ₋ 6)

we are asked to find the inverse of the function.

steps to find inverse function are:

Change f(x) to y to get y = ax + b for the provided function f(x) = ax + b.To get x = ay + b from the equation y = ax + b, replace x with y and y with x.

Here, find y and solve for x = ay + b.

Then we get :

y = (x - b/a).

Finally, we can substitute y = f⁻¹(x) with f⁻¹(x) = (x - b)/a.

now interchange the positions of x and y in the function.x = log₁₀(y ₋ 6)

the next step is to isolate the dependent variables.

y = 10ˣ + 6

hence we get the inverse of the function y = log₁₀ (x ₋ 6) as y = 10ˣ + 6.

Learn more about Inverse functions here:

brainly.com/question/14391067

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