Final answer:
The evaluation of the function f(x) = 5x - 2 for x = -3 yields -17, and solving the equation f(x) = -3 for x gives x = -1/5.
Step-by-step explanation:
To find f(-3), we substitute -3 into the equation f(x) = 5x - 2.
f(-3) = 5(-3) - 2 = -15 - 2 = -17
Therefore, the correct answer is c. -17.
To find the value of x such that f(x) = -3, we substitute -3 into the equation and solve for x:
-3 = 5x - 2
Adding 2 to both sides, we get:
-1 = 5x
Dividing by 5
The student is asking to evaluate the function f(x) = 5x - 2 for a given value of x and to solve for x when the function equals a particular number.
To find f(-3), we plug -3 into the function:
f(-3) = 5(-3) - 2 = -15 - 2 = -17. So the answer is c. -17.
Now, to solve for x when f(x) = -3, we set the function equal to -3 and solve for x:
-3 = 5x - 2
Add 2 to both sides:
-1 = 5x
Divide by 5:
x = -1/5
So the correct answer is a. -1/5.