Question

Find (f+g)(x)f(x)=3x+9g(x)=5-2xA- 5x+14B- x+14C- x+4D- 5x+4

Answer 1

Functions given:

`f\mleft(x\mright)=3x+9`
`g\mleft(x\mright)=5-2x`

The task given can be also displayed as follows:

`\mleft(f+g\mright)\mleft(x\mright)=f\mleft(x\mright)+g\mleft(x\mright)`

Meaning that (f+g)(x) is the addition of both functions.

`\mleft(f+g\mright)\mleft(x\mright)=f(x)+g\mleft(x\mright)=(3x+9)+(5-2x)`

Simplifying we get:

`=3x+9+5-2x`
`=x+14`

Answer: B. x + 14