If f(x)=`(x(x-1))/2` then the value of (x+2) is?

If function f(x)=x^(2)+e^(x//2) " and " g(x)=f^(-1)(x) , then the value of g'(1) is

If x^(f(x))=e^(x-f(x)) , then the value of integral int_(1)^(2)f'(x){(1+logx)^(2)}dx+1 is

If f(x)=ax^(2)+bx+c and f(x+1)=f(x)+x+1 , then the value of (a+b) is __

If 2f(x)+f(-x)=1/xsin(x-1/x) then the value of int_(1/e)^e f(x)d x is

If the function f(x)=x^3+e^(x/2) and g(x)=f ^(−1)(x) , then the value of g ′ (1) is

If int(x-1)/(x^2sqrt(2x^2-2x-1))dx = sqrt(f(x))/g(x) +c then the value of f(x) and g(x) is

If f(x)=x^2+x+1 , then find the value of 'x' for which f(x-1) =f(x)

If f(x)=|x-1|+|x-3| ,then value of f'(2) is equal to

If f(x) is an invertible function and g(x)=2f(x)+5, then the value of g^(-1)(x)i s (a) 2f^(-1)(x)-5 (b) 1/(2f^(-1)(x)+5) 1/2f^(-1)(x)+5 (d) f^(-1)((x-5)/2)

If f(x) is an invertible function and g(x)=2f(x)+5, then the value of g^(-1)(x)i s (a) 2f^(-1)(x)-5 (b) 1/(2f^(-1)(x)+5) 1/2f^(-1)(x)+5 (d) f^(-1)((x-5)/2)