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Masja [62]
2 years ago
10

Could anyone help me with this ?!

Mathematics
1 answer:
allochka39001 [22]2 years ago
5 0

Answer: 5; PO

6; PM

7; MNO

8; QN

9; OQ

10; PQO

Step-by-step explanation:

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The solution for f(x) = g(x) are;

x = 1 and x = -1

Step-by-step explanation:

The given equations for the functions, g(x) are;

f(x) = \dfrac{1 + 2\cdot x}{x}

g(x) = 2 + x

The solution for f(x) = g(x), is given by equating the equations of the two functions as follows;

When f(x) = g(x), we have;

\dfrac{1 + 2\cdot x}{x} = 2 + x

By cross multiplication, we have;

1 + 2·x = x × (2 + x) = 2·x + x²

∴ x² + 2·x - 2·x - 1 = 0

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(x - 1)·(x + 1) = 0

x = 1, or x = -1

f(x) = g(x) = 2 + 1 = 3, or 2 - 1 = 1

Therefore, the solution for f(x) = g(x) are;

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2 years ago
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