a) i) We've studied functions to be a way of mapping input numbers to output numbers. Given two functions f(x) and g(x), explain in words what the composition of functions means (such as (f o g)(x)). ii) Assume that for some functions f(x) and g(x), it is given that (f o g)(2) = 10 and that g(2) = 20. What must be true about the function f(x) based on that info?

4. Determine whether the following functions are one-to-one: a) f (x) = "+1 for all real numbers x + 0 b) f (x) = for all real numbers x.

Lots of mathematical operations are commutative, meaning that you can change the order without changing the answer.  Is function composition commutative?  That is, if you have two functions f ( x ) and g ( x ) , is it true that f ( g ( x ) ) = g ( f ( x ) ) ?  Explain your reasoning.

The graphs of two functions are shown below. Evaluate the function at the given values of x, if possible. a) (f-g)(-1), b) (f∙g)(-2), c) (g/f)(2), d) (fog)(-1), e) (gof)(-2)