If `g(x)=x ^2 +x−1 ` and ` (gof)(x)=4x^2−10x+5 `, then `f(5/4 )` is equal to:

If g(x)=x^(2)+x-1 and g(f(x))=4x^(2)-10x+5 then find f((5)/(4))

If g (x) = x ^(2) -1 and gof (x) = x ^(2) + 4x + 3, then f ((1)/(2)) is equal (f(x) gt 0 AA x in R)

If g(x)=x^2-1 and gof (x)= x^2+4x+3 , then f(1/2) is equal (f (x) gt 0 AA x in R) :

f(x)=cot^(- 1)(x^2-4x+5) then range of f(x) is equal to :

If f(x) = (x - 1)(x - 2)(x - 3)(x - 4)(x - 5) , then the value of f' (5) is equal to

If f(x) is a twice differentiable function such that f'' (x) =-f(x),f'(x)=g(x),h(x)=f^2(x)+g^2(x) and h(10)=10 , then h (5) is equal to

If f(x) = 1/x , g(x) = sqrtx find gof(x)?

If f(x)=log_(e)x, g(x)=x^(2) and c in (4, 5), then clog((4^(25))/(5^(16))) is equal to

If g(x)=x^3+x-2 and g(f(x))=x^3+3x^2+4x then f(1)+f(2) is equal to ________

int ((cos 6x+6cos 4x+ 15 cos 2x+10)/(10 cos ^(2) x +5 cos x cos 3 x+ cos x cos 5 x ))dx =f (x)+C, then f (10) is equal to: