contestada

6.
f(a+h)-f(a)
Determine
h
Of(a+h)-f(a)
h
Of(a+h)-f(a)
h
Of(a+h)-f(a)
h
=
for f(x) = x2 + 5x and simplify.
=
2a + h + 5
h
= 2a + 2h+5
2ah + h² - 5a
h
Of(a+h)-f(a) = 2a + h + 5
h

Respuesta :

The value of the function operation f(a + h) - f(a) is; h² + 5h + 2ah

How to simplify functions?

We are given the function;

f(x) = x² + 5x

We want to find f(a + h) - f(a)

Let us first find f(a + h) to get;

f(a + h) = (a + h)² + 5(a + h)

⇒ a² + 2ah + h² + 5a + 5h

⇒ a² + 5a + h² + 5h + 2ah

Let us now find f(a) to get;

f(a) = a² + 5a

Thus, f(a + h) - f(a) = a² + 5a + h² + 5h + 2ah - a² - 5a

f(a + h) - f(a) = h² + 5h + 2ah

Read more about Simplifying Functions at; https://brainly.com/question/15602982

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