(Look at picture, not this) 4. Use the following equation to perform the operations below: y = (²+5 ÷ (2+3)(2-2))-21/2₂2 4. Use the following equation to perform the operations below : y = ( ² + 5 ÷ ( 2 + 3 ) ( 2-2 ) ) - 21 / 2₂2

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Look at picture not this 4 Use the following equation to perform the operations below y 5 23222122 4 Use the following equation to perform the operations below class=

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The solutions when y = 0 are x = -4.796 and x = 4.796

The graph of the function

The function is given as:

[tex]y = (\frac{x + 5}{x + 1} \div \frac{(x + 3)(x - 2)}{(x -4)(x + 1)})- \frac{1}{x - 2}[/tex]

See attachment for the graph of the function

The vertical asymptote

When the function is simplified, we have:

(x +3)(x -2) at the denominator of one of the terms

Set this factor to 0

(x +3)(x -2) = 0

Expand

x + 3 = 0 and x -2 = 0

Solve for x

x = -3 and x = 2

Hence, the vertical asymptotes are x = -3 and x = 2

The feature at x = -1

The feature at x = -1 is a hole and, not a vertical asymptote.

This is so because the absolute value of -1 is less than the absolute values of the vertical asymptotes at x = -3 and x = 2

The solution when y = 0

From the attached graph, we have:

x = -4.796 and x = 4.796 when y = 0

Hence, the solutions when y = 0 are x = -4.796 and x = 4.796

Read more about functions at:

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