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If (f(x)=18+4x), what is the value of (f(x+3)-f(x))?
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Answer and explanation
Correct answer: 12
Given f(x)=18+4x, we get f(x+3)=18+4(x+3)=18+4x+12. Therefore, f(x+3)-f(x)=(18+4x+12)-(18+4x)=12. Option 4 is only the coefficient of x; for an increase of 3 in x, the change is 4×3=12. Exam tip: For a linear function ax+b, increasing x by h changes the function by ah.
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What is the correct answer to this question?
12
Why is this the correct answer?
Given f(x)=18+4x, we get f(x+3)=18+4(x+3)=18+4x+12. Therefore, f(x+3)-f(x)=(18+4x+12)-(18+4x)=12. Option 4 is only the coefficient of x; for an increase of 3 in x, the change is 4×3=12. Exam tip: For a linear function ax+b, increasing x by h changes the function by ah.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear growth and decay.
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