Q. 6

# If f: R→ R is defined by f(x) = x^{2}, write f^{–1}(25).

Answer :

Formula:-

(i)A function f: X → Y is defined to be invertible, if there exists a function g : Y → X

such that gof =I_{x} and fog = I_{y}. The function g is called the inverse of f and is denoted by f^{-1}

f(x)=y

f^{-1}(y)=x

x^{2}=25

x=-5,5

f^{-1}(25) ={-5,5}

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