Question

Given f(x) = -5x + 1, solve for x when f(x) = 6.

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

Answer 1

The correct answer is c) x = -1. To solve the equation, set -5x + 1 equal to 6 and then isolate the variable x by performing basic algebraic operations.

Step-by-step explanation:

The correct answer is option c) x = -1. To solve for x when f(x) = 6, we need to set the equation f(x) = -5x + 1 equal to 6 and solve for x.

To solve for x when f(x) = 6, we can set up the equation -5x + 1 = 6. Then we subtract 1 from both sides to obtain -5x = 5. To isolate x, we divide both sides of the equation by -5, which gives us x = -1.

Therefore, the correct answer is option c) x = -2.Substituting 6 for f(x), we get the equation 6 = -5x + 1. We then subtract 1 from both sides to obtain 5 = -5x, which simplifies to x = -1 when we divide both sides by -5. This gives us the solution x = -1, which corresponds to option c).