Question

Given the function f(x) = -2x - 3, Which of the following values of x satisfies the equation f(x) = -2?

a) x = 0
b) x = 1
c) x = -1
d) x = 2

Answer 1

None of the provided options (x = 0, x = 1, x = -1, x = 2) satisfy the equation f(x) = -2 for the function f(x) = -2x - 3. The correct value for x is -0.5, which is not listed among the choices.

Step-by-step explanation:

The question asks to find the value of x that satisfies the equation f(x) = -2 for the given function f(x) = -2x - 3. To solve this, we need to set the function equal to -2 and solve for x:

-2x - 3 = -2

Add 3 to both sides of the equation:

-2x = -2 + 3

-2x = 1

Now, divide both sides by -2:

x = 1 / -2

x = -0.5

Since none of the options (x = 0, x = 1, x = -1, x = 2) equals -0.5, none of the provided choices are correct. The value of x that satisfies the equation f(x) = -2 is not listed among the options provided by the student.