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Question

Prove that the function f:RR defined by f(x)=4x+3, is invertible and find the inverse of f.

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Solution

f(x)=4x+3

Let f(x1)=f(x2)

4x1+3=4x2+3

x1=x2

Thus f is one-one

To check onto

let y=4x+3

x=y34 here yR

Thus f(x) is onto

Thus f is invertible

inverse of f is =x34=f1(x).

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