If f(x)=2x*2+3 and g(x)= x*2 -7 find (f+g)(x)

Answer 1

Here, we see we are working with function composition, and we are adding our functions.

f(x) = 2x² + 3 and g(x) = x² - 7

Adding them implies: 2x² + 3 + x² - 7 From here it is a bit clearer that we are combining like terms, so we recognize we have:

2x² + x² + 3 - 7.

Combining and simplifying them leaves us with: 3x² - 4