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If f(x) = 4-x* and g(x) = 6x, which expression is equivalent to (g -)(3)?
O 6-3- (4 + 3)²
O6-3- (4- 3)
O 6(3) -4 +32
O 6(3) –4 -32

If fx 4x and gx 6x which expression is equivalent to g 3 O 63 4 3 O63 4 3 O 63 4 32 O 63 4 32 class=

Respuesta :

Ashraf82

Answer:

The expression that equivalent to (g - f)(3) is 6(3) - 4 + 3² ⇒ C

Step-by-step explanation:

Let us solve the question

∵ f(x) = 4 - x²

∵ g(x) = 6x

→ Find at first (g - f)(x) by subtracting f(x) from g(x)

∵ (g - f)(x) = 6x - (4 - x²)

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

∴ (g - f)(x) = 6x - 4 + x²

→ Substitute x by 3 to find (g - f)(3)

∵ (g - f)(3) = 6(3) - 4 + (3)²

∴ (g - f)(3) = 6(3) - 4 + 3²

The expression that equivalent to (g - f)(3) is 6(3) - 4 + 3²

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