Does anybody know this?

(f - g)(x) = -x² + 3x + 7 ⇒ D

Step-by-step explanation:

In the expression x - a, you will subtract a from x

Let us solve the question using this fact

∵ f(x) = 3x + 1

∵ g(x) = x² - 6

→ We need to find (f - g)(x), which means subtract g from x

∵ (f - g)(x) = (3x + 1) - (x² - 6)

→ The negative sign before (x² - 6) will change their signs

∵ - (x² - 6) = -(x²) + -(-6)

→ Remember (-)(+) = - and (-)(-) = (+)

∴ - (x² - 6) = -x² + 6

→ Substitute it in (f - g)(x)

∴ (f - g)(x) = 3x + 1 - x² + 6

→ Add the like terms

∴ (f - g)(x) = 3x - x² + (1 + 6)

∴ (f - g)(x) = 3x - x² + 7

→ Re-arrange the terms from the greatest power of x

∴ (f - g)(x) = -x² + 3x + 7

good job you smart son of a gun you are smarter that einstein. 7

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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