The inverse of the function y = log(x₊1) is f ⁻¹(x) = 10ˣ ₋ 1.
Given the function is :
y = log(x₊1)
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 ₊ 1)
the next step is to isolate the dependent variables.
f ⁻¹(x) = ₋1 ₊ 10ˣ
f ⁻¹(x) = 10ˣ ₋ 1
hence, we get the inverse of the given function as f ⁻¹(x) = 10ˣ ₋ 1.
Learn more about Inverse functions here:
brainly.com/question/14391067
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