3. Which of the following functions have an inverse function? If so, find its inverse. (a) f(x) = x³ – 1 (b) g(x) = Vx –- 3 (c) p(x) = x² – 3 (d) q(x) = |x – 3| %3D 3 (e) r(x) = X-1
3. Which of the following functions have an inverse function? If so, find its inverse. (a) f(x) = x³ – 1 (b) g(x) = Vx –- 3 (c) p(x) = x² – 3 (d) q(x) = |x – 3| %3D 3 (e) r(x) = X-1
Chapter3: Functions
Section3.5: Transformation Of Functions
Problem 1SE: When examining the formula of a function that is the result of multiple transformations, how can you...
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I need an answer for number three
Transcribed Image Text:1. True or False
(a) A linear function is a one-to-one function.
(b) The inverse of y == is y = x.
(c) The graph of the inverse of a function can be obtained by reflecting the graph
of the function along y = x.
2. Identify if the following are one-to-one functions or not.
(a) People to their birthdays
(b) People to their Social Security System number
(c) People to their place of residence
3. Which of the following functions have an inverse function? If so, find its inverse.
(a) f(x) = x³ – 1
(b) g(x) = Vx –- 3
(c) p(x) = x² – 3
(d) q(x) = |x – 3|
3
(e) r(x) =
4. Sketch the graph of the inverse of the function f(x) = Vx + 3.
x-1
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