Composite functions and Evaluating functions f(x), g(x), fog(x), gof(x) Calculator 1 f(x)=2x1, g(x)=x5, Find fog(x) 2 fog(x)=(x2)/(3x), f(x)=x2, Find gof(xWe say that f (x) is O(g(x)) if there are constants C and k such that f (x) ≤ Cg(x) whenever x > k Now here is the first example EXAMPLE 1 Show that f (x) = x^2 2x 1 is O(x^2) Solution We observe that we can readily estimate the size of f (x) when x > 1 because x 1Firstly, we must find the composite function fg (x) in terms of x before we solve it In order to do this, we can break down the function in the following way fg (x) = f g (x) = f (x5) As you can see, we have broken down fg (x) into a function of g within a function of f We can now replace 'x' in f (x) = x 3 with 'x5'
Find Fog And Gof If F X Sinx G X X 2 Youtube
F(x)=x^2 what is g(x) (2 1)