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Karo-lina-s [1.5K]
4 years ago
9

If g(x)=2x + 1, find g(a + h)- g(a). 2h 2h + 2 h + 1

Mathematics
1 answer:
katovenus [111]4 years ago
3 0
G(x) = 2x + 1

<u>Find g(a + h):</u>
g(a + h) = 2(a + h) + 1 = 2a + 2h + 1

<u>Find g(a):</u>
g(a) = 2(a) + 1 = 2a + 1

<u>Find g(a + h) - g(a):</u>
g(a + h) - g(a) = 2a + 2h + 1 - ( 2a + 1)

Distribute the negative sign:
g(a + h) - g(a) = 2a + 2h + 1 -  2a - 1

Combine like terms:
g(a + h) - g(a) = 2h

Answer: 2h
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