578 Chapter 10Radical Functions and Equations10.4Inverse of a Function (pp. 567–574)a. Find the inverse of the relation.Input420246Output3036912Input3036912Output420246Switch the inputs and outputs.Inverse relation:b. Find the inverse of f (x) = √— x − 4 . Then graph the function and its inverse.y √— x 4 Set y equal to f (x).x √— y 4 Switch x and y in the equation. x2 ( √— y 4 ) 2 Square each side. x2 y 4Simplify. x2 + 4 y Add 4 to each side.Because the range of f is y ≥ 0, the domain of the inverse must be restricted to x ≥ 0. So, the inverse of f is g(x) x2 + 4, where x ≥ 0.Find the inverse of the relation. 17. (1, 10), (3, 4), (5, 4), (7, 14), (9, 26) 18. Input42024Output63036Find the inverse of the function. Then graph the function and its inverse. 19. f (x) 5x + 10 20. f (x) 3x2 1, x ≥ 0 21. f (x) 1 — 2 √— 2x + 6 22. Consider the function f (x) x2 + 4. Use the Horizontal Line Test to determine whether the inverse of f is a function. 23. In bowling, a handicap is an adjustment to a bowler’s score to even out differences in ability levels. In a particular league, you can nd a bowler’s handicap h by using the formula h 0.8(210 a), where a is the bowler’s average. Solve the formula for a. Then nd a bowler’s average when the bowler’s handicap is 28.4812xfgy4812