To solve for the values of x that satisfy the equation f(x) = 12, we first need to set up the equation based on the provided function:
Given the function f(x) = 5x + 1 – 3, we can simplify it:
f(x) = 5x – 2
Now, we want to find the value of x such that:
5x – 2 = 12
Next, we will solve for x:
- Add 2 to both sides:
- 5x = 12 + 2
- 5x = 14
- Now, divide both sides by 5:
- x = 14 / 5
- x = 2.8
Thus, the value of x for which f(x) = 12 is 2.8.
This means that if you substitute x = 2.8 back into the function, you will get:
f(2.8) = 5(2.8) – 2 = 14 – 2 = 12
Hence, that’s the solution!