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 - 0.7C h(x) = 2((1.2)x - 2x - 0.7)D h(x) = 2((1.2)x - x - 0.7)
Question
Answer:
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.
solved
general
11 months ago
8059