Questions: t(x)=(x-4)/(x+2)

Transcript text: $t(x)=\frac{x-4}{x+2}$

Solution

Solution Steps

To evaluate the function $ t(x) = \frac{x-4}{x+2} $ for a given value of $ x $, we need to substitute the value of $ x $ into the function and perform the arithmetic operations.

Step 1: Evaluate the Function

To evaluate the function $ t(x) = \frac{x-4}{x+2} $ at $ x = 5 $, we substitute $ 5 $ into the function:

\[ t(5) = \frac{5 - 4}{5 + 2} \]

Step 2: Perform the Arithmetic Operations

Now, we simplify the expression:

\[ t(5) = \frac{1}{7} \]

Final Answer

The value of the function at $ x = 5 $ is

\[ \boxed{t(5) = \frac{1}{7}} \]

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