Question

The function m(g) provides the number of miles a car can travel on g gallons of gas. The fuel tank holds 14 gallons which allows a maximum ride of 504 miles.

What is the domain of the function?

Answer 1

we conclude that the domain of 'g' should be:

• 0 ≤ g ≤ 14

Explanation:

• We know that the domain of a function is the set of input or argument values for which the function is real and defined.

Given that the function m(g) provides the number of miles a car can travel on 'g' gallons of gas.

Also, the fuel tank holds 14 gallons which allows a maximum ride of 504 miles.

As the distance covered by Car in miles is dependent on the availability of the fuel.

Thus, fuel gallons 'g' is an independent quantity and hold x-values.

• Given that the fuel tank holds 14 gallons 'g'.

Thus, the domain of 'g' should be:

• 0 ≤ g ≤ 14

Therefore, we conclude that the domain of 'g' should be:

• 0 ≤ g ≤ 14