Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Please help me answer these. Practice Exercises In Exercises 1-10, find f(g(x)) and g(f(x)) and determine whether each pair of functions f and g are

Please help me answer these.

image text in transcribedimage text in transcribedimage text in transcribed
Practice Exercises In Exercises 1-10, find f(g(x)) and g(f(x)) and determine whether each pair of functions f and g are inverses of each other. 1. f(x) = 4x and g(x) = 2. f(x) = 6x and g(x) 6 3. f(x) = 3x + 8 and g(x) = x - 8 3 4. f(x) = 45 + 9 and 8(x) = * - 9 4 5. f(x) = 5x - 9 and 8(x) * + 5 9 6. f(x) = 3x - 7 and 8(x) * + 3 7 7. f(x ) = 3 and 8 (x ) 3 + 4 x - 4 X 2 8. A(x) = _5 and g(x) = - +5 9. f(x) = -x and g(x) = -x 10. A(x) = Vx - 4 and g(x) = 3 + 4The functions in Exercises 11-28 are all one-to-one. For each function, a. Find an equation for f (x), the inverse function. b. Verify that your equation is correct by showing that 31 f(f (x)) = x and f (f(x)) = x. 11. f(x) = x + 3 12. f(x) = x + 5 13. f(x) = 2x 14. f(x) = 4x 15. f(x) = 2x + 3 16. f(x) = 3.x - 1 17. f(x) = x3 + 218. f(x) = x3 - 1 ther 19. f(x) = (x + 2)3 20. f(x) = (x - 1)3 21. f(x) = - x 22. f(x) = HIN 23. f(x) = Vx 24. f(x) = Vx 25. f(x) = *+4 x- 2 26. A(x) x +'5 x - 6 27. f(x) = 2x + 1 x - 3 28. f(x) = 2x - 3 x +1

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Basic College Mathematics W/Early Integers (Subscription)

Authors: Elayn Martin Gay

3rd Edition

0134186419, 9780134186412

More Books

Students also viewed these Mathematics questions