Question bank / Linear functions

Math · AlgebraMedium

The function ff is defined by f(x)=ax+7f(x) = ax + 7, where aa is a constant. If f(3)=19f(3) = 19, what is the value of f(−2)f(-2)?

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Answer: -1

From f(3)=3a+7=19f(3) = 3a + 7 = 19, we get 3a=123a = 12 and a=4a = 4. Then f(−2)=4(−2)+7=−8+7=−1f(-2) = 4(-2) + 7 = -8 + 7 = -1.

Stopping after finding a=4a = 4 answers a different question.

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