Question
Verify that $f$ and $g$ are inverse functions using the composition property.$$f(x)=5 x+9, g(x)=\frac{x-9}{5}$$
Step 1
This means we substitute $g(x)$ into the function $f(x)$. So, $f(g(x)) = 5g(x) + 9$. Show more…
Show all steps
Your feedback will help us improve your experience
Bobby Barnes and 68 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
Verify that $f$ and $g$ are inverse functions using the composition property. $$f(x)=2 x+5, g(x)=\frac{x-5}{2}$$
Exponential and Logarithmic Functions
Inverse Functions
Use function composition to verify that $f(x)$ and $g(x)$ are inverse functions. $$f(x)=-3 x+5 \text { and } g(x)=\frac{x-5}{-3}$$
Functions
Verify that $f$ and $g$ are inverse functions using the composition property. $$f(x)=\sqrt{9-x^{2}}, g(x)=\sqrt{9-x^{2}}$$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD