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Darina [25.2K]
3 years ago
13

Make x the subject of these equations. Thank you! ^^

Mathematics
1 answer:
Ghella [55]3 years ago
3 0

Answer:

y =  \frac{x}{x - 2}  \\ y(x - 2) = x \\ xy- 2y = x \\ xy - x = 2y \\ x(y - 1) = 2y \\ x =  \frac{2y}{(y - 1)}

y =  \frac{(x + 4)}{(x - 9)}  \\ y(x - 9) = (x + 4) \\ xy- 9y = x + 4 \\ xy - x = 9y + 4 \\ x(y - 1) = 9y + 4 \\ x =  \frac{9y + 4}{(y - 1)}

y =  \frac{(a - 5x)}{(bx + 8)} \\ y(bx + 8) = (a - 5x) \\ ybx + 8y = (a - 5x) \\ ybx + 5x = a - 8y \\ x(yb + 5) = a - 8y \\ x =  \frac{(a - 8y)}{(yb + 5)}

y =  \frac{6x - 8}{3x - 13} \\ y(3x - 13) = 6x - 8 \\ 3xy - 13y = 6x - 8 \\ 3xy - 6x = 13y - 8 \\ x(3y - 6) = 13y - 8 \\ x =  \frac{13y - 8}{(3y - 6)}

sorry I don't know how to do the last one.

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The domain of the graph is -∝ < x < ∝ and the range of the graph is -∝ < y < ∝. Also, the graph has no axis of symmetry

<h3>The domain and range of the graph</h3>

From the graph, we can see that the x values extend indefinitely

So, the domain of the graph is -∝ < x < ∝

From the graph, we can see that the y values extend indefinitely

So, the range of the graph is -∝ < y < ∝

<h3>The intercepts</h3>

This is where the graph crosses the axes

So, we have the intercepts to be

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<h3>Relative max and relative mins points and values, </h3>

The graph has a relative maximum at (3, 3) and the relative minimum are (0.5, 10)

<h3>Intervals of increase and decrease, </h3>

There are the intervals where the function increases and decreases

So, we have the intervals to be

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<h3>Intervals of positive and negative,</h3>

There are the intervals where the function is positive and negative

So, we have the intervals to be

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  • Negative interval: (-∝, -4) and (-2, 2)

<h3>The symmetry</h3>

This is the line that divides the graph equal part

In this case, the graph has no axis of symmetry

<h3>The end behavior</h3>

Using the intervals where the function is positive and negative, the end behavior is

  • As x ⇒ ∝, f(x) ⇒ +∝
  • As x ⇒ -∝, f(x) ⇒ -∝

Read more about functions at:

brainly.com/question/3951754

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