Knowing the function that represents the salary of María and her husband, the function that represents the salary of both together is T(x) = 23 + 28x.
¿What is the sum of functions?
It is an operation where another function is added to a function, this procedure is very useful and is widely used in mathematics.
Troubleshooting
To solve this problem we must do a sum of functions, that is, we must add the function that represents María's salary and the function that represents her husband's salary, then:
T(x) = (32 + 15(x - 2)) + (34 + 13(x - 1))
We proceed to simplify and we have:
T(x) = (32 + 15(x - 2)) + (34 + 13(x - 1))
T(x) = 32 + 15x - 30 + 34 + 13x - 13
T(x) = 23 + 28x
Therefore, the function that represents the salary of both is T(x) = 23 + 28x.
¡Hope this helped!