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Algebra Difficulty: Medium

$f of x equals, the fraction with numerator x plus 7, and denominator 4$

For the function f defined above, what is the value of $f of 9, minus, f of 1$ ?

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Explanation

Choice B is correct. The value of $f of 9 minus f of 1$ can be calculated by finding the values of $f of 9$ and $f of 1$ . The value of $f of 9$ can be found by substituting 9 for x in the given function: $f of 9 equals, the fraction with numerator, open parenthesis, 9 plus 7, close parenthesis, and denominator 4$ . This equation can be rewritten as $f of 9 equals, 16 over 4$ , or 4. Then, the value of $f of 1$ can be found by substituting 1 for x in the given function: $f of 1 equals, the fraction with numerator, open parenthesis, 1 plus 7, close parenthesis, and denominator 4$ . This equation can be rewritten as $f of 1 equals, 8 over 4$ , or 2. Therefore, $f of 9 minus f of 1, equals, 4 minus 2$ , which is equivalent to 2.

Choices A, C, and D are incorrect and may result from incorrectly substituting values of x in the given function or making computational errors.