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Kaylis [27]
3 years ago
5

Given the function

Mathematics
1 answer:
worty [1.4K]3 years ago
6 0

Answer:

f(a) = 4a - 1

f(a+h) = 4a+4h - 1

f(a + h) - f(a)h= 4a + 5h - 4ah- 1

Step-by-step explanation:

Given

f(x) = 4x - 1

Solving (a): f(a)

Substitute a for x

f(a) = 4a - 1

Solving (b): f(a + h)

Substitute a + h for x

f(a+h) = 4(a+h) - 1

f(a+h) = 4a+4h - 1

Solving (c):f(a + h) - f(a)h

f(a + h) - f(a)h= f(a + h) - f(a) * h

Substitute values for f(a + h) and f(a)

f(a + h) - f(a)h= 4a + 4h - 1 - (4a- 1) * h

Open bracket

f(a + h) - f(a)h= 4a + 4h - 1 - 4ah+ h

Collect like terms

f(a + h) - f(a)h= 4a + 4h + h - 4ah- 1

f(a + h) - f(a)h= 4a + 5h - 4ah- 1

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