Option #1:
[tex]f(x)=\frac{2}{x-3}[/tex]
f(4), this means that x = 4
To find f(4), substitute/plug in 4 into "x" in the function:
[tex]f(x)=\frac{2}{x-3}[/tex] Plug in 4 into "x" since x = 4
[tex]f(4)=\frac{2}{4-3}[/tex]
[tex]f(4)=\frac{2}{1}[/tex]
f(4) = 2
Option #2:
[tex]f(x)=\frac{2}{x} -3[/tex]
f(4), this means that x = 4
To find f(4), substitute/plug in 4 into "x" in the function:
[tex]f(x)=\frac{2}{x} -3[/tex]
[tex]f(4)=\frac{2}{4} -3[/tex] To combine fractions, they need to have the same denominator. Multiply -3 by [tex](\frac{4}{4} )[/tex] so that they have the same denominator.
[tex]f(4)=\frac{2}{4} -3(\frac{4}{4} )[/tex]
[tex]f(4)=\frac{2}{4} -\frac{12}{4}[/tex] Combine the fractions
[tex]f(4)=\frac{-10}{4}[/tex] Simplify the fraction
[tex]f(4)=-\frac{5}{2}[/tex]
