Let `f(x)=x^2-5x+2` and g(x)=f(x-4). Find the positive root of the equation
f(x)=g(2)

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

If f(x)=4x-5 and g(x)=3^(x) , then f(g(2)) =

If f(x)={(1)/(x)}andg(x)={x^(2)}, then the number of positive roots satisfying the equations f(x)=g(x) such that 2ltx^(2)lt3

If f(x)=2x^(2)-4 and g(x)=2^(x) , the value of g(f(1)) is

Let f_(1) (x) and f_(2) (x) be twice differentiable functions where F(x)= f_(1) (x) + f_(2) (x) and G(x) = f_(1)(x) - f_(2)(x), AA x in R, f_(1) (0) = 2 and f_(2)(0)=1. "If" f'_(1)(x) = f_(2) (x) and f'_(2) (x) = f_(1) (x) , AA x in R then the number of solutions of the equation (F(x))^(2) =(9x^(4))/(G(x)) is...... .

If f(g(x))=4x^(2)-8x and f(x)=x^(2)-4, then g(x)=

if f(x)=x^2 +3 and g(x)=x-5 , evaluate f(g(9)).

Let f(x) = x^(2) + 2x +5 and g(x) = x^(3) - 1 be two real functions. Find (f+g)(x), (f-g)(x), (fg)(x) and ((f)/(g))(x) .

If f(x+2)=3x+11 and g(f(x))=2x, find the value of g(5).

Let f(x) = x + cos x + 2 and g(x) be the inverse function of f(x), then g'(3) equals to ........ .