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H(x) =14-8x;h(x) =-2

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Final answer:

To solve for x in the equation h(x) = 14 - 8x when h(x) = -2, we solve the equation 14 - 8x = -2, which simplifies to x = 2.

Step-by-step explanation:

The student's question involves solving for x when a function h(x) is given a specific value. In this case, h(x) = 14 - 8x and we are asked to find x when h(x) = -2. To solve for x, set h(x) equal to -2 and solve the resulting equation.

Step-by-Step Solution:

  1. Write the equation: 14 - 8x = -2.
  2. Subtract 14 from both sides: -8x = -2 - 14.
  3. Combine like terms: -8x = -16.
  4. Divide both sides by -8: x = -16 / -8.
  5. Simplify the fraction: x = 2.

Therefore, the value of x that makes h(x) = -2 is 2.

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