Question

Let f(x) be the function defined below, where -1 < x < 1. f(x) = 1 / (x² * tan(x²)). Find f⁻¹(1).

Answer 1

To find the inverse function f⁻¹(1), we need to solve the equation f(x) = 1 / (x² * tan(x²)) = 1 for x.

Step-by-step explanation:

To find the inverse function f-1(1), we need to solve the equation f(x) = 1 / (x2 * tan(x2)) = 1 for x.

However, solving this equation analytically may not be possible due to the complexity of the function. In such cases, we can use numerical methods or graphing calculators to estimate the value of x that satisfies f(x) = 1.

By inputting values of x into the function f(x), you can find the approximate value of x for which f(x) is equal to 1.