Question

Given the function f(x) below, find the value f(3) and give your final answer as an ordered pair

Answer 1

The answer is (3,6).

Explanation:

We are given the following expression:

`f(x)=((1)/(2)+(1)/(2)\ast(x)/(5))/((x)/(4)\ast(2)/(5)-(1)/(6))`

We want f(3), so we replace x by 3.

The answer as an ordered pair will be (3,f(3)). So

`f(3)=((1)/(2)+(1)/(2)\ast(3)/(5))/((3)/(4)\ast(2)/(5)-(1)/(6))=((1)/(2)+(3)/(10))/((3)/(10)-(1)/(6))=((5+3)/(10))/((9-5)/(30))=((8)/(10))/((4)/(30))=(8)/(10)\ast(30)/(4)=(8)/(4)\ast(30)/(10)=2\ast3=6`

The answer is (3,6).