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Solve (f(x+h)-f(x))/h

Given f(x)=2x+5
Need to simplify (f(x+h)-f(x))/h
asked Jul 31, 2017 in Algebra by Jack

1 Answer

Try this way:

f(x+h) = 2(x+h) +5 = 2x + 2h +5

f(x) = 2x + 5

f(x+h) - f(x) = 2x + 2h + 5 - 2x - 5 = 2h

[f(x+h) - f(x)]/h = 2h/h = 2
answered Jul 31, 2017 by quickwriter (2,510 points)
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