Let's find [tex]f(x) = 2[/tex], which is essentially what the problem is asking, what [tex]x[/tex] corresponds to an output of 2.
Let's solve below:
[tex]f(x) = 2[/tex]
[tex]23x + 4 = 2[/tex]
- Substituting in [tex]23x + 4[/tex] for [tex]f(x)[/tex] (I'm not sure if this is the correct expression for [tex]f(x)[/tex] due to formatting issues)
[tex]23x = -2[/tex]
- Subtract 4 from both sides to make a step to isolate [tex]x[/tex] (what we are trying to find)
[tex]x = - \frac{2}{23}[/tex]
- Divide both sides of the equation by 23 to isolate [tex]x[/tex]
Thus the input is [tex]\boxed{x = - \frac{2}{23}}[/tex].