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almond37 [142]
2 years ago
7

What is the slope of the line that contains the points in the table?

Mathematics
1 answer:
alina1380 [7]2 years ago
3 0

Answer:

0.4

Step-by-step explanation:

\frac{-6-(-4.8)}{5-8}=\frac{-1.2}{-3}=0.4

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Given: f(a)= a³ +a and g(a) = a -1 Find: (fog)(a)​
Anvisha [2.4K]

Answer:

(fog)(a)​ = a³ - 3a² + 4a - 2

           = (a - 1)×(a² - 2a + 2)

Step-by-step explanation:

<u><em>Given</em></u> :

g(a) = a -1 

f(a)= a³ +a

…………………………

(fog)(a)​ = f(g(a)​))

           = g(a)³ + g(a)

           = (a - 1)³ + (a - 1)

           = (a³ - 3a² + 3a - 1) + (a - 1)

           = a³ - 3a² + 3a - 1 + a - 1

           = a³ - 3a² + 3a + a - 1 - 1

           = a³ - 3a² + 4a - 2

<u><em>Second method</em></u> :

(fog)(a)​ = f(g(a)​))

           = f(a - 1)

           = (a - 1)³ + (a - 1)

           = (a - 1)×[(a - 1)² + 1]

           = (a - 1)×[a² - 2a + 1 + 1]

           = (a - 1)×(a² - 2a + 2)

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