Relations and F...

If f(x) + f(1-x) = 10 then the value of $$\displaystyle f\left ( \frac{1}{10} \right )+f\left ( \frac{2}{10} \right )+.........+f\left ( \frac{9}{10} \right )$$

If $$f (x) = 2x - 1$$ and $$g (x) = 3x + 2$$, then find $$(fog) (x)$$ :

If $$\displaystyle R=R^{-1}$$ then the relation R is ________

If $$\displaystyle f(x)=2x^{3}+7x-5\, and\, g(x)=f^{-1}(x)$$ then g' (4) is equal to

If $$f(x) = -x^2+1, g(x) = -\sqrt[3]{x}$$ then (gofogofogogog) (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 f(x)=2x-1 and g(x)=3x+2  then find (fog) (x)

If f(x) = 2x+1 and g(x) = 3x-5 then find $$\left ( fog \right )^{-1}\left ( 0 \right )$$

If X = {2,3,5,7,11} and Y = {4,6,8,9,10} then find the number of one-one functions from X to Y

Find $$\left( f\circ g \right) \left( 3 \right) $$ when $$f\left( x \right) =7x-6$$ and $$g\left( x \right) =5{ x }^{ 2 }-7x-6$$.