For real x, the function `(x-a)(x-b)/(x-c)` will assume all real values provided

f(x)=((x-1)(x-4))/(x-a)) will assume all real values provided

For real values of x, the expression ((x - b) (x - c))/((x - a)) will assume all real values provided :

The function (x^(2)+2 x+c)/(x^(2)+4 x+3 c) assumes all real values only if

Prove that if x is real, the expression ((x-a)(x-c))/(x-b) is capable of assuming all values if agtbgtc or altbltc .

Prove that if x is real, the expression ((x-a)(x-c))/(x-b) is capable of assuming all values if agtbgtc or altbltc .

For real values of x, the function x-sin x is

If a,b,c are distinct positive numbers,then the nature of roots of the equation 1/(x-a)+1/(x-b)+1/(x-c)=1/x is a.all real real and is distinct b.all real and at leat two are distinct c.at least two real d.all non-real