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If f: R->R is defined by f(x)=x^2 , writ...

If `f: R->R` is defined by `f(x)=x^2` , write `f^(-1)(25)` .

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Let `f^{-1}(25)=x`

`Rightarrow f(x)=25`

`Rightarrow x^{2}=25`

`Rightarrow x^{2}-25=0`

`Rightarrow(x-5)(x+5)=0`

`Rightarrow x=pm 5`

`Rightarrow f^{-1}(25)={-5,5} quad[` from `(1) ]`

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