Chapter 4.1, Problem 1QR

Consider the following functions: f(x)= x2+3 and g(x) = (1)/(x-4)   1) Find f (g(x)) . You are not required to simplify. 2) Find g( f (x)) . You are not required to simplify.

Suppose that F ,(x) = f (x) and G ,(x) = g(x). Which of the following statements are true? Explain.   (a) If f = g, then F = G.(b) If F and G differ by a constant, then f = g.(c) If f and g differ by a constant, then F = G.

Consider a function f(x). State the condition for the function to have an inverse and how you can check if the condition holds. State also the relationship between the graphs of f(x) and f-1(x).

Differentiate the function of y = (e4x^2+1)3 in two different ways: i.) by differentiating the function without doing any algebra first   ii.) by doing as much algebraic simplification as possible beforehand

Let f(x)=x²-9x +4. Find f(-1). f(-1) = 106 19,758 NOV 30

17. Determine whether f(x) x + 3 = 5x - 3 and g(x) = are inverse functions. Write a complete sentence explaining why or why not. U Font Family - AA- A F-E E ±V