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Standard Level

5.08 Inverse functions and restricted domains

Interactive practice questions

Consider the function given by $f\left(x\right)=x+5$f(x)=x+5.

a

Sketch the graph of $f\left(x\right)$f(x) on the coordinate plane below:

Loading Graph...
b

Is the function $f\left(x\right)$f(x) one-to-one?

No

A

Yes

B
c

Does an inverse function exist for $f\left(x\right)$f(x)?

No

A

Yes

B
Easy
< 1min

Consider the function given by $f\left(x\right)=\frac{2x+3}{2}$f(x)=2x+32.

Easy
1min

Consider the function given by $f\left(x\right)=\left(x-2\right)\left(x+3\right)$f(x)=(x2)(x+3).

Easy
1min

Consider the function given by $f\left(x\right)=x^2-1$f(x)=x21.

Easy
1min
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