Question

F(x)=3x-1 , g(x)=3x^2-2x find (f+g)(x)

Answer 1

`\boldsymbol{(f + g)(x) = 3x^2 + x - 1}`

Explanation:

To find (f + g)(x), we should add the two functions.

f(x) = 3x - 1 and g(x) = 3x² - 2x

Combine like terms:

(f + g)(x) = 3x² - 2x + 3x - 1

= 3x² + x - 1

Hence,
`\sf{(f + g)(x) = 3x^2 + x - 1}`

Answer 2

`\large\boxed{(f+g)(x)=3x^2+x-1}`

Explanation:

`(f+g)(x)=f(x)+g(x)\\\\\text{We have}\ f(x)=3x-1\ \text{and}\ g(x)=3x^2-2x.\\\\\text{Substitute:}\\\\(f+g)(x)=(3x-1)+(3x^2-2x)=3x-1+3x^2-2x\\\\(f+g)(x)=3x^2+(3x-2x)-1\\\\(f+g)(x)=3x^2+x-1`