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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.$$f(x)=x^{4}+1, \quad x \geqslant 0$$

$f^{-1}(x)=\sqrt[4]{x-1}$

Calculus 1 / AB

Chapter 1

Functions and Sequences

Section 5

Logarithms; Semilog and Log-Log Plots

Functions

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Harvey Mudd College

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Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

01:13

Find an explicit formula f…

05:35

00:43

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00:19

Sketch the graph of $f(x)=…

04:32

Find the intervals on whic…

02:30

Find $f^{\prime}(x) .$ Com…

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01:23

Draw the graph of $f,$ and…

02:27

this question asked us to find an explicit formula for the inverse function. First things first, swap variables and soul for Why take the fourth route? We now have a graph that looks like this. You can see f an inverse function of off our reflections about this line. The line and black is white.

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The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

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