Question

H（x） =14-8x;h（x） =-2

Answer 1

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.