Question

F.BF.1b Combine standard function types using arithmetic o

Give the equation for f(x) + g(x) given that
f(x) = x² - x + 1 and g(x) = 2x + 3

Answer 1

We can easily say that the following about this question:

• Functions are polynomial expressions.
• Arithmetic operations are performed between coefficients of terms of the same degree. Coefficients of different degrees are written as they are, without being changed.

`f(x)=x^2-x+1` and
`g(x)=2x+3` can be combined as;

• 
  `f(x)+g(x)=x^2+(2-1)x+(3+1)`
• 
  `f(x)+g(x)=x^2+x+4`