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Answer:

-2/3

Step-by-step explanation:

h(x)=2x-6/4x^2+8

You know that h is equal to -1 so you have to plug that into x.

2(-1)-6/4(-1)^2+8. Simplify this to get -2-6/4+8 which is equal to -8/12. The GCM of 8 and 12 is 4 so you have to divide both sides by 4. This will make the fraction -2/3.

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Answer: [tex]h(-1) = \frac{-2}{3}[/tex]

Step-by-step explanation:

You simply substitute -1 for x

h (-1) = 2 (-1) - 6 ÷ (4 × -1² + 8)

h (-1) = (-2 - 6) ÷ (4 × 1 + 8)

h (-1) = (-2 -6) ÷ (4 + 8)

h (-1) = -8 ÷ 12 = -2 ÷ 3

h (-1) = ⁻²/₃