Let f(x) = 3x - 6 and g(x) = -5x + 7.
What is f+g?

f+g = -2x+1

Step-by-step explanation:

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We are given both functions:

Since we want to find f+g which also means (f+g)(x), we just combine both functions!

Cancel all brackets and combine like terms!

From above, combine 3x-5x = -2x and -6+7 = 7-6 = 1.

Still don't get it? Let's say we simply combine both functions or add both functions when we want to find f+g.

Ex.

For example, we are given f(x) = x+2 and g(x) = 2x+1. Find f+g.

We simply combine both functions and thus:-

f+g = x+2+2x+1

f+g = 3x+3 { 3(x+1) }

the answer is b