Question

The function ( g ) is defined as follows. [ g(x)= frac{x-8}{5 x+2} ] Find ( g(4) ). Simplify your answer as much as possible. If applicable, click on "Undefined".

Answer 1

To find g(4), substitute 4 into the function g(x) and simplify, resulting in g(4) being \( \frac{-2}{11} \).

Step-by-step explanation:

To find the value of the function g(x) at x = 4, we substitute 4 into the function and simplify:

g(4) = \( \frac{4 - 8}{5(4) + 2} \) = \( \frac{-4}{22} \)

Now, we reduce the fraction to its simplest terms:

\( \frac{-4}{22} \) = \( \frac{-2}{11} \) (by dividing both numerator and denominator by 2)

Thus, the simplified value of g(4) is \( \frac{-2}{11} \).

Answer 2

To find g(4), substitute 4 into the given function and simplify the expression.

Step-by-step explanation:

To find g(4), we need to substitute 4 into the function g(x)=\frac{x-8}{5x+2}.

Replacing x with 4, we get:

g(4) = \frac{4-8}{5(4)+2}

Simplifying further, we have:

g(4) = \frac{-4}{22}

So, the value of g(4) is -\frac{2}{11}.