Inverse Functions
Interactive practice questions
Consider the function $f\left(x\right)=x+1$f(x)=x+1.
a
Graph the function on the set of axes below:
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b
Is the function $f\left(x\right)=x+1$f(x)=x+1 a one-to-one function?
No
A
Yes
B
c
If a function is one-to-one, an inverse function exists. Find the inverse function $f^{-1}\left(x\right)$f−1(x), writing each line of working as an equation:
Easy
2min
Define $y$y, the inverse of $f\left(x\right)=-4x$f(x)=−4x.
Easy
< 1min
Define $y$y, the inverse of $f\left(x\right)=8x-1$f(x)=8x−1.
Easy
1min
Consider the function $y=3x+8$y=3x+8.
Easy
3min
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