=f(a+b).quad " 10.If "F(x)=(4x-5)/(3x-4)," prove that "F{F(x)}=x" ."

If f(x)=(3x+2)/(4x-3) show that f(x)=f^(-1)(x)

(i) If y = f(x) = (3x-1)/(5x-3) , prove that f(y) = x (ii) If y = f(x) = (ax -b)/(bx-a) , prove that f(y) = x

If f(x) =x+1/x , prove that : [f(x)]^3 = f(x^3)+3f (1/x) .

If f(x-2)=2x^2+3x-5 , find f(x) and prove that f(-1) = 0.

If 2f(x) + 3f(-x) = 15 - 4x, then prove that f(x) = 3 + 4x.

If f(x)=x^(3)-4x+8 , then f(5)=

If f:R-{2/3}rarr R defined by f(x)=(4x+3)/(6x-4) show that f(f(x))=x

If f(x)= x^5+x^3-2x+3 ,Prove that f'(1)+f'(-1)=4f(0).

If A to A where A - R - {2/3} defined by f(x) = (4x + 3)/(6x - 4) is invertible. Prove that f^(-1) = f .

If f(x)=x+(1)/(x) , then prove that : {f(x)}^(3)=f(x^(3))+3*f((1)/(x))