What is the domain of the function `f(x) = frac{1}{x-2}`?

What is the domain of the function f(x)=(1)/(x-2) ?

Find the domain and range of the real function f(x)=(x-2)/(3-x) .

Find the domain and range of the function f(x)=4sin x-3cos x .

Find the domain for which the functions f(x)= 2x^2-1 and g(x)=1-3x are equal.

Find the domain and range of the real function f(x)=(x^2)/(x^2-1) .

If f(x) is a polynomial of degree 2 such that f(0) = 1,f(1) = 0 and f(3) = 5, find the domain of the function f such that f (x) is never negative.

Find the domain of real function f if f(x)=(x^2-3x+2)/(x^2+x-6)

Find the domain and range of the real function f(x)=sqrt (2x-1)

Discuss the continuity of the function f given by f(x) = {(2-x,x<2),(2+x,xge2):}

Examine continuity at the given point of the function f defined by f(x)={(1-x,0 lexle1),(x-1,xgt1,):} at x=1