Question
Find an explicit formula for $f^{-1}$ and use it to graph $f^{-1}, f$, and the line $y=x$ on the same screen. To check your work, see whether the graphs of $f$ and $f^{-1}$ are reflections about the line.$f(x)=x^4+1, \quad x \geqslant 0$
Step 1
Step 1: To find the inverse function $f^{-1}(x)$, I'll start with the original function $f(x) = x^4 + 1$ where $x \geq 0$. Show more…
Show all steps
Your feedback will help us improve your experience
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
Find an explicit formula for $f^{-1}$ and use it to graph $f^{-}$ $f,$ and the line $y=x$ on the same screen. To check your work. see whether the graphs of $f$ and $f^{-1}$ are reflections about the line. $$f(x)=x^{4}+1, \quad x \geq 0$$
Functions and Models
Inverse Functions and Logarithms
Find an explicit formula for $f^{-1}$ and use it to graph $f^{-1}$ , $f,$ and the line $y=x$ on the same screen.To check your work, see whether the graphs of $f$ and $f^{-1}$ are reflections about the line. $$f(x)=x^{4}+1, \quad x \geqslant 0$$
Functions and Sequences
Logarithms; Semilog and Log-Log Plots
$27-28$ Find an explicit formula for $f^{-1}$ and use it to graph $f^{-1}$ , $f$ , and the line $y=x$ on the same screen. To check your work, see whether the graphs of $f$ and $f^{-1}$ are reflections about the line. $f(x)=x^{4}+1, x \geqslant 0$
Funtions and Models
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD