Answer:
The answer is (3,6).
Step-by-step explanation:
We are given the following expression:
[tex]f(x)=\frac{\frac{1}{2}+\frac{1}{2}\ast\frac{x}{5}}{\frac{x}{4}\ast\frac{2}{5}-\frac{1}{6}}[/tex]
We want f(3), so we replace x by 3.
The answer as an ordered pair will be (3,f(3)). So
[tex]f(3)=\frac{\frac{1}{2}+\frac{1}{2}\ast\frac{3}{5}}{\frac{3}{4}\ast\frac{2}{5}-\frac{1}{6}}=\frac{\frac{1}{2}+\frac{3}{10}}{\frac{3}{10}-\frac{1}{6}}=\frac{\frac{5+3}{10}}{\frac{9-5}{30}}=\frac{\frac{8}{10}}{\frac{4}{30}}=\frac{8}{10}\ast\frac{30}{4}=\frac{8}{4}\ast\frac{30}{10}=2\ast3=6[/tex]
The answer is (3,6).
