Answer:
Step-by-step explanation:
f(x) + g(x) = 4x - 7 + 5 + 9x = 13x - 2
f(x) - g(x) = 4x - 7 - 5 - 9x = -5x - 12
We want to sum (and subtract) two functions and then find the domains. Remember that the domain of a function is the set of all the possible values of x that we can input in the function.
We have:
f(x) = 4x - 7
g(x) = 5 + 9x
The sum is just:
f(x) + g(x) = 4x - 7 + 5 + 9x = 13x - 2
And this is a linear function, so the domain (like in all linear functions) is the set of all real numbers.
For the difference we have:
f(x) - g(x) = (4x - 7) - (5 + 9x) = -5x - 12
Again, the domain is the set of all real numbers.
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