Let `f(x)={x^3-x^2+10 x-5,xlt=1-2x+(log)_2(b^2-2),x >1` Find the values of `b` for which `f(x)` has the greatest value at `x=1.`

Let f(x) = sqrt(log_(10)x^(2)) .Find the set of all values of x for which f (x) is real.

If f(x)=x^3-x^2+a x+b is divisible by x^2-x , then find the value of f(2)dot

If f(x)=2x-x^(2) then find the value of f(1)=____.

If f(x)=x^3+x^2-a x+b is divisible by x^2-x , then find the value of a and b

let f(x)=-x^3+(b^3-b^2+b-1)/(b^2+3b+2) if x is 0 to 1 and f(x)=2x-3 if x if 1 to 3 .All possible real values of b such that f (x) has the smallest value at x=1 ,are

The value of x for which the equation 5*3^(log_3x)-2^(1-log_2x)-3=0

Let f(x)=(log)_2(log)_3(log)_4(log)_5(s in x+a^2)dot Find the set of values of a for which the domain of f(x)i sRdot

If f(x) = sin^(-1) (sin ("log"_(2) x)) , then find the value of f(300)

Let f(x)=a/x+x^2dot If it has a maximum at x=-3, then find the value of adot

If (x^2+x−2)/(x+3) 1) f(x) then find the value of lim_(x->1) f(x)