MAT135H1 Lecture Notes - Inverse Function

To express Q(x) = csc 2(5x + 9) as the composition of three functions, identify f, g. and h so that Q(x) = f(g(h(x))). Which functions f, g, and h below are correct? h(x) = 5x + 9 h(x) = 5x + 9 g(x) = csc (x) g(x) = x2 f(x) = x2 f(x) = CSC (x) h(x) = 5x + 9O h(x) = csc (x) g(x) = x2 g(x) = x2 f(x) = csc(x) + 9 f(x) = 5x - 9 h(x) = 5x h(x) csc (x) + 9 g(x) = csc(x) + 9g(x)= x2 f(x)= x2 f(x) = 5x

Let f(x) = 5x - 1, g(x) = x^2 - 4, h(x) = x + 1/3. Find (h o g o f)(2). (h o g o f)(2) =

Let f be the function given by f (x) = x + 1/Squareroot 5 - x. What is the domain of f? Let g be the function given by g (x) = 10/Squareroot x - Squareroot 2x - 1. Find and simplify g (1) - 3g (25). Let f be the function given by f (x) = 5x - x^2. Find and simplify f (x + h) - f (x)/h.