sat suite question viewer
Algebra
/ Linear functions
Difficulty: Medium
The function is defined by , where is a constant, and . What is the value of ?
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Explanation
The correct answer is . It’s given that . Therefore, for the given function , when , . Substituting for and for in the given function yields , or . Subtracting from each side of this equation yields . Dividing each side of this equation by yields . Substituting for in the given function yields , which is equivalent to , or . Substituting for into this equation yields , or . Therefore, the value of is .