Question

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)

Answer 1

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.

Answer 2

Answer:

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

i got that one on my test

good luck