Let `f(x)=x^(2)-2x-1AA x in R , Let f,(-oo,a] to [b,oo)`, where 'a' is the largest real number for which f(x) is bijective.
The value of (a+b) is equal to

Let f(x)=x^(2)-2x-1AA xi nR Let f:(-oo,a]rarr[b,oo), where a is the largest real number for which f(x) is bijective.If f:R rarr R,g(x)=f(x)+3x-1, then the least value of function y=g(|x|) is

Let f(x+y)-axy=f(x)+by^(2),AA x,y in R,f(1)=8,f(2)=32 , then a+b=?

Let f:R to [1,oo),f(x)=x^(2)-4x+5 . Then find the largest possible intervals for which f^(-1)(x) is defined and find corresponding f^(-1)(x).

Let f(x)=a sin x+c , where a and c are real numbers and a>0. Then f(x)lt0, AA x in R if

Let f(x)=a^2+e^x, -oo 3 where a,b,c are positive real numbers and is differentiable then

Let f:R rarr R and f(x)=x^(3)+ax^(2)+bx-8. If f(x)=0 has three real roots &f(x) is a bijective,then (a+b) is equal to

Let g(x)=f(x)sin x, where f(x) is a twice differentiable function on (-oo,oo) such that f(-pi)=1. The value of |g'(-pi)| equals

Let f(x)=a^(x)-x ln a, a> 1. Then the complete set of real values of x for which f(x)>0 is (a)(1,oo)(b)(-1,oo)(c)(0,oo)(d)(0,1)

Let f:(-oo,2] to (-oo,4] be a function defined by f(x)=4x-x^(2) . Then, f^(-1)(x) is

Let f:(2,oo)rarr N be defined by f(x)= the largest prime factor of [x]. Then int_(2)^(8)f(x)dx is is equal to (A)17(B)22(C)23(D)25