Let the function f be given by the equation fx2x5 Evaluate f

Let the function f be given by the equation f(x)=2x-5

Evaluate f^1(3) without finding an equation for the function f^-1(x)

Solution

solution:

we can directly tell the value of f^-1(3)without finding theequation of the inverse function

we know that inverse function are mirror images of original functions in line y=x

so to calculate the x for which f(x)=3

and x is our goal value(means f^-1(3))

hence one line solution

3=2x-5

x=4

hence

f^-1(3)=4