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Algebra / Linear functions 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.