Question

Let h(x) = -4x + 16. Find x when h(x) = 36.

a) x = -5
b) x = 10
c) x = 5
d) x = -10

Answer 1

To find x when h(x) = 36 for the function h(x) = -4x + 16, solve the equation 36 = -4x + 16, which simplifies to x = -5, corresponding to option (a).

Step-by-step explanation:

The function given is h(x) = -4x + 16. To find x when h(x) = 36, we set the function equal to 36 and solve for x:

36 = -4x + 16

Now we subtract 16 from both sides to isolate the term with x:

20 = -4x

Next, we divide both sides by -4 to solve for x:

x = 20 / -4

x = -5

Thus, when h(x) = 36, x is -5, which corresponds to option (a) x = -5.