Eric and Kelsey each work after school to earn money. Eric charges $10, plus an additional $4 per hour to babysit. Kelsey charge
s $15, plus an additional $3 per hour to rake. Eric and Kelsey work the same number of hours. Which system of equations can be used to determine how many hours, x, they need to work to earn the same amount of money, y?
1 answer:
You might be interested in
We are given the following functions:
We are asked to determine the composite function:
The composition of functions is equivalent to:
Therefore, we replace the value of "x" in function "f" for the function "g", therefore, we get:
Since we can't simplify any further this is the composition.
Now we are asked to determine the domain of this function. Since we have a square root, the domain must be the values of "x" where the term inside the radical is greater or equal to zero, therefore, we have:
Now we solve for "x" by subtracting 6 from both sides:
Therefore, the domain is: