3. Let f : R → R and g : R → R be defined by f(x) = 3x + 5 and g(x) = x² + 7. Find the composition functions gof and f o g.

A company decides to change its floor plan from cubicle to open office. This will bring in a constant stream of $1,000 in extra income annually. If the company invests this extra income in an account that earns 2.5% continuously compounded interest for ten years, is it worth the change? The change in floor plan costs $7,000.

2. Let f(x) = 3x – 7, find a linear function g for which f (g)= I and for which f(g (x)) =x for any number x the function g is: a. g:x →+7. 3 x+7 b. g:x→- 3 7-x c. g:x→ 3 x+7 d. g:x→- 3 x-7 e. g:x→ 3