Problem 1: For each function: find its domain, the inverse function, and the domain of the inverse function. (a) $f(x) = x^3 + 2$ (b) $h(z) = \frac{2z + 1}{z - 1}$ (c) $g(t) = 6 - \frac{3}{4}(2t - 4)$
Added by Jennifer M.
Close
Step 1
(a) The domain of f(x) = x^3 + 2 is all real numbers, since there are no restrictions on the input x. (b) The domain of h(x) = 2x - 1 is all real numbers, since there are no restrictions on the input x. (c) The domain of g(t) = 6 - (2t - 4) is all real numbers, Show more…
Show all steps
Your feedback will help us improve your experience
Khanh Ha and 76 other Precalculus educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
In Problems 27–34, find the inverse of each one-to-one function. State the domain and the range of each inverse function. $$ \{(-2,-8),(-1,-1),(0,0),(1,1),(2,8)\} $$
Exponential and Logarithmic Functions
One-to-One Functions; Inverse Functions
In Problems $19-22,($ a) determine whether the function is one-to-one. If it is one-to-one, (b) find the inverse of each one-to-one function. (c) State the domain and the range of the function and its inverse. \{(-3,5),(-2,9),(-1,2),(0,11),(1,-5)]
Preparing for Calculus
Inverse Functions
In Problems 27–34, find the inverse of each one-to-one function. State the domain and the range of each inverse function. $$\{(-2,1),(-3,2),(-10,0),(1,9),(2,4)\}$$
Recommended Textbooks
Precalculus with Limits
Precalculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD