Let `f(x)=x^(2)-2x+3, g(x)=x+k` and `f(g(x))=x^(2)+10x+c`. Find the value of c.

Let f(x)=[x] and g(x)=|x| . Find (f+2g)(-1)

Let f(x)= (2x)/(2x^2+5x+2) and g(x)=1/(x+1) . Find the set of real values of x for which f(x) gt g(x) .

If f(x)=x^(2)g (x) and g(1)=6, g'(x) 3 , find the value of f' (1).

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

Let f(x)=x^(2)-4x-3,x>2 and let g be the inverse of f. Find the value of g', where f(x)=2

Let f (x)= signum (x) and g (x) =x (x ^(2) -10x+21), then the number of points of discontinuity of f [g (x)] is

Suppose that the function f(x) and g(x) satisfy the system of equations f(x)+3g(x)=x^(2)+x+6 and 2f(x)+4g(x)=2x^(2)+4 for every x. The value of x for which f(x)=g(x) can be equal to

Let f(x) = x^(2) - 5x + 6, g(x) = f(|x|), h(x) = |g(x)| The set of values of x such that equation g(x) + |g(x)| = 0 is satisfied contains

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