476 CHAPTER 4 Inverse, Exponential, and Logarithmic Functions These summary exercises provide practice with inverse, exponential, and logarithmic functions. Determine whether ƒ and g are inverses. 1. ƒ1x2 = 3x - 4, g1x2 = 1 3 x + 4 3 2. ƒ1x2 = 8 - 5x, g1x2 = 8 + 1 5 x 3. ƒ1x2 = 1 + log2 x, g1x2 = 2x-1 4. ƒ1x2 = 3x/5 - 2, g1x2 = 5 log 3 1x + 22 Determine whether each function is one-to-one. If it is, then sketch the graph of its inverse function. 5. x y = x y 6. 1 x y y = x 7. x y y = x 8. x y y = x In Exercises 9–12, match each function with its graph from choices A–D. 9. y = log3 1x + 22 10. y = 5 - 2x 11. y = log2 15 - x2 12. y = 3x - 2 A. 1 1 x y 0 B. 1 1 x y 0 C. 1 1 x y 0 D. 1 1 x y 0 13. The functions in Exercises 9–12 form two pairs of inverse functions. Determine which functions are inverses of each other. 14. Determine the inverse of the function ƒ1x2 = log7 x. (Hint: Replace ƒ1x2 with y, and write in exponential form.) Summary Exercises on Inverse, Exponential, and Logarithmic Functions
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