Show that `f : [1,2] rarr[0,1]` defined by `f(x)= sqrt(4x-x^2-3)` is invertible. Hence find the formula for `f^-1(x)`.

Similar Questions

Explore conceptually related problems

Show that f : [0,1]rarr]0,1] defined by f(x)=1/(x^2+1) is invertible and find f^-1(x) .

Show that f : R-{a} rarr R-{-1} defined by f(x)= (a+x)/(a-x) is invertible. Find the formula for f^-1(x) .

Show that the function f : R rarr R defined by f(x)=x^2+4 is not invertible.

If f:RrarrR defined by f(x)=(3x+5)/2 is an invertible function, then find f^(-1)

Let f : R rarr R be defined as f(x)=x^3+2 . Show that f^-1 : R rarr R exists and hence find the formula for f^-1 .

If f :IR rarrIR is defined by f(x)=x^2-3x+2 , find f(f(x))?

Let f : R rarr R be defined as f(x)=2x+3 . Show that f is invertible and find f^-1 : R rarr R .

Show that the function f : R rarr R , defined by {(-1,x 0):} is neither one-one nor onto.

Prove that f : R rarr R, f(x)=4x-5 is invertible and find f^-1(x) .

Let f: R to R be a function defined by f(x)=5x+7 Show that f is invertible. Find the inverse of f.