For the pair of functions, find the indicated sum, difference, product, or quotient, and give the domain of the new function. f(x) = x2 + 1, g(x) = 5x – 8Find (f g)(x).

y = x3

Use the definition of inverses to determine whether f and g are inverses.f(x) = , x ≥ -5; g(x) = x2 + 5

For the given functions f and g , find the indicated composition. f(x) = 3x + 10, g(x) = 4x – 1 (f ∘ g)(x)

y =

x = y2

For the pair of functions, find the indicated sum, difference, product, or quotient, and give the domain of the new function. f(x) = 9x – 5, g(x) = 5x – 2Find (f – g)(x).

From a Graph: A line moves down 3 units for every 4 units it moves to the right. The slope is:

Use the definition of inverses to determine whether f and g are inverses., g(x) =

Cell Phone Plan: A plan has a base cost plus a charge per GB of data. Data (GB) Total Cost ($) 2 40 5 70 10 120 a) Calculate the slope in fraction form (simplified). Hint: Use any two points, and the slope formula! b) What does the slope represent in this context?