Question

If f(x) = log2 (x + 1), what is f⁻¹(2)?
a. 1
b. 8
c. 10
d. 27

Answer 1

To find f⁻¹(2), solve f(x) = 2 and undo the logarithm function by rewriting it in exponential form.

Step-by-step explanation:

To find f⁻¹(2), we need to solve the equation f(x) = 2 for x. Given that f(x) = log2(x + 1), we can rewrite the equation as log2(x + 1) = 2.

To solve for x, we need to undo the logarithm function by rewriting it in exponential form. In this case, we rewrite it as 2 = 2^(x + 1).

Solving this equation gives us x = 1.