Credit Recovery Question 2 Determine the value of $f(5)$ for the following functions. [3] a) $f(x)=x+6$ b) $f(x)=\sqrt{x-2}$ c) $f(x)=\frac{6}{x-1}$

Step 1 ：The question is asking for the value of the function \(f(x)\) when \(x=5\) for three different functions.

Step 2 ：For the first function, \(f(x)=x+6\), we simply substitute \(x=5\) into the function and calculate the result.

Step 3 ：For the second function, \(f(x)=\sqrt{x-2}\), we again substitute \(x=5\) into the function and calculate the result. We need to be careful here because the square root of a negative number is not a real number. So we need to make sure that \(x-2\) is not negative.

Step 4 ：For the third function, \(f(x)=\frac{6}{x-1}\), we substitute \(x=5\) into the function and calculate the result. We need to be careful here because division by zero is undefined. So we need to make sure that \(x-1\) is not zero.

Step 5 ：For the function \(f(x)=x+6\), \(f(5)=11\).

Step 6 ：For the function \(f(x)=\sqrt{x-2}\), \(f(5)=\sqrt{3}\approx1.732\).

Step 7 ：For the function \(f(x)=\frac{6}{x-1}\), \(f(5)=1.5\).

Step 8 ：So, the final answers are \(\boxed{11}\), \(\boxed{\sqrt{3}}\), and \(\boxed{1.5}\).