The revenue generated by a bakery over x months, in thousands of dollars, is given by the function f (x) = 2 (1.2) x. The cost of running the bakery for x months, in thousands of dollars, is given by the function g (x) = 2x + 1.4.

Determine the equation for h if h (x) = f (x) - g (x).

A h (x) = - 2 ((1.2) x + x + 0.7)

B h (x) = (1.2) x - x - 0.7

C h (x) = 2 ((1.2) x - 2x - 0.7)

D h (x) = 2 ((1.2) x - x - 0.7)

You are to subtract the functions to get a new function h (x)

h (x) = f (x) - g (x)

replace function name with the equivalent expression.

h (x) = 2 (1.2) x - (2x + 1.4)

Distribute the negative sign to the second function - g (x)

h (x) = 2 (1.2) x - 2x - 1.4

Now compare to the possible solutions ... It appears the next step is to factor 2 out of 1.4 to get 0.7. (all possible solutions end with 0.7)

h (x) = 2 (1.2) x + 2 (-x - 0.7)

now factor 2 out of all terms

h (x) = 2 (1.2x - x - 0.7)

Answer D.