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

Question

Philoid · Accepted 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

x²=25

x=-5,5

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

If f: R→ R is defined by f(x) = x2, write f–1(25).