If f(x)=2^x-6 and g(x)=3x+9, find (f-g)(x)

(f-g)(x) = 2^x  - 3x-15

Step-by-step explanation:

f(x)=2^x-6

g(x)=3x+9

(f-g)(x) = 2^x -6 - (3x+9)

           Distribute the minus sign

(f-g)(x) = 2^x -6 - 3x-9

Combine like terms

(f-g)(x) = 2^x  - 3x-15

Convert the choices to a common unit and in this item, it is best to convert the choices to meters by dimensional analysis and proper conversion factor.

A. (0.100 km) x (1000 m / 1 km) = 100 m
B. (10 hm) x (100 m / 1 hm) = 1000 m
C. (10,000 cm) x (1 m / 100 cm) = 100 m
D. (100,000 mm) x (1 m / 1000 m) = 100 m
From the obtained values above, the answer to this item is letter B.