Let f(x) = 4x – 5 and g(x) = 3x + 7. find f(x) + g(x) and state its domain.

We are given the functions:

f(x) = 4 x – 5                       ---> 1

g(x) = 3 x + 7                       ---> 2

To find for the value of f(x) + g(x), all we have to do is to add equations 1 and 2:

f(x) + g(x) = 4 x – 5 + 3 x + 7

f(x) + g(x) = 7 x + 2 = y

In this case, for any real number value assign to x, we get a real number value of y. This is because the function is linear.

Therefore the domain of the function is all real numbers.

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fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right