In Exercises 59-64, letf(x) = 2x - 5 g(x) = 4x - 1h(x) = x² + x + 2.Evaluate the indicated function without finding an equation for the function. ƒ¹ (1)

Function evaluation involves substituting a specific input value into a function to determine its output. In this case, we need to evaluate the inverse function ƒ¹(1), which means finding the value of x such that f(x) equals 1. Understanding how to evaluate functions is crucial for solving problems related to function inverses.

An inverse function reverses the effect of the original function. For a function f(x), its inverse f¹(y) satisfies the equation f(f¹(y)) = y. To find ƒ¹(1), we need to determine which input x in the function f(x) = 2x - 5 results in an output of 1, highlighting the relationship between a function and its inverse.

Solving linear equations involves finding the value of the variable that makes the equation true. In this context, we need to solve the equation 2x - 5 = 1 to find the corresponding x value for ƒ¹(1). Mastery of solving linear equations is essential for evaluating functions and their inverses effectively.