Determine f(-7) when f(x) =\frac{x + 17}{x - 17}. a. f(-7) = -\frac{5}{12} b. f(-7) = -1 c....


Determine [{MathJax fullWidth='false' f(-7) }] when [{MathJax fullWidth='false' f(x) =\frac{x + 17}{x - 17} }]. a. [{MathJax fullWidth='false' f(-7) = -\frac{5}{12} }] b. [{MathJax fullWidth='false' f(-7) = -1 }] c. [{MathJax fullWidth='false' f(-7) = -\frac{10}{17} }] d. [{MathJax fullWidth='false' f(-7) = -\frac{17}{24} }]


We have a rational function and we have to find the value of the function at the given point. The function has an input and an output and we find the value of the function at a given point we substitute {eq}x {/eq} with the given value.

Answer and Explanation: 1

$$f(x) =\frac{x + 17}{x - 17} $$

To find the value of the function at the given point we will substitute x by the given number:

$$\begin{align} f(-7)&=\frac{-7+17}{-7-17}\\ f(-7)&=\frac{10}{-24}\\ f(-7)&=\frac{-5}{12} \end{align} $$

is the value of the function at x=-7.

The correct option is a.

Learn more about this topic:

Determine the Initial Value of a Function


Chapter 4 / Lesson 5

Learn the definition of the initial value of a function. Understand how to find the initial value. Using examples, practice calculating the initial value for the given function.

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