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1 vote
If f(x) = 3x + 1, then f(a + h) - f(a) =

User Sllopis
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2 Answers

4 votes
replace x with a+h and a

f(a+h)-f(a)=3(a+h)+1-(3a+1)=
3a+3h+1-3a-1=
3h

result is 3h
User Gunnit
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8.1k points
4 votes
f(a+h) = 3(a+h) + 1 = 3a + 3h + 1

f(a) = 3a + 1

f(a+h) - f(a) = 3a + 3h + 1 - 3a - 1 = 3h

Answer: 3h
User Noby Fujioka
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7.9k points