Question

For f(x) = -2x + 7, find the value of x for which f(x) = -3.

a) x = 5
b) x = -2
c) x = 2
d) x = 0

Answer 1

To find the value of x for which f(x) = -3 when f(x) = -2x + 7, we solve the equation -3 = -2x + 7, which simplifies to x = 2.

Step-by-step explanation:

The student's question involves finding the value of x for which f(x) = -3 given the function f(x) = -2x + 7. To solve for x, we need to set the function equal to -3 and solve for x:

1. Substitute -3 for f(x): -3 = -2x + 7.
2. Add 2x to both sides: -3 + 2x = 7.
3. Subtract 7 from both sides: 2x = 7 - 3.
4. Now, simplify the right side: 2x = 4.
5. Divide both sides by 2 to solve for x: x = 4 / 2 = 2.

Therefore, the correct answer is c) x = 2.