Question

What is (f+g)(x)? f(x)=x2–5x g(x)= – 3x

Answer 1

Answer:
`\((f+g)(x) = x^2 - 8x\)`

Explanation:

To find
`\((f+g)(x)\)`, you simply add the functions
`\(f(x)\)` and
`\(g(x)\)` together.

Given:

-
`\(f(x) = x^2 - 5x\)`

-
`\(g(x) = -3x\)`

`\[(f+g)(x) = f(x) + g(x)\]`

`\[(f+g)(x) = (x^2 - 5x) + (-3x)\]`

`\[(f+g)(x) = x^2 - 5x - 3x\]`

`\[(f+g)(x) = x^2 - 8x\]`

So,
`\((f+g)(x) = x^2 - 8x\)`.

Answer 2

(f + g)(x) = x² - 8x

Explanation:

(f + g)(x)

= f(x) + g(x)

= x² - 5x + (- 3x) = x² - 5x - 3x = x² - 8x