Question
For each function $f(x)$ given, prove (using a composition) that $g(x)=f^{-1}(x)$$$f(x)=\sqrt[3]{x+5}, g(x)=x^{3}-5$$
Step 1
This would mean that $g(x)$ is the inverse of $f(x)$. Show more…
Show all steps
Your feedback will help us improve your experience
Benjamin Schreyer and 85 other Algebra 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
For each function $f(x)$ given, prove (using a composition) that $g(x)=f^{-1}(x)$ $$f(x)=-2 x+5, g(x)=\frac{x-5}{-2}$$
Exponential and Logarithmic Functions
One-to-One and Inverse Functions
For each function $f(x)$ given, prove (using a composition) that $g(x)=f^{-1}(x)$ $$f(x)=\sqrt[3]{x-4}, g(x)=x^{3}+4$$
For each function $f(x)$ given, prove (using a composition) that $g(x)=f^{-1}(x)$ $$f(x)=x^{2}-3 ; x \geq 0, g(x)=\sqrt{x+3}$$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD