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Mrac [35]
3 years ago
11

Carly wants to buy 10 litres of

Mathematics
1 answer:
yuradex [85]3 years ago
4 0

Answer:

The correct answer is:

Home stores: £23.75

Paint Supplies: £27.30

The DIY Shop: £22.50

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1. Write the inverse of equation of the function f(x) = x^2 - 4? 2. Sketch the inverse of the function f(x)= x^2 - 4 on graphing
Reptile [31]

Answer:  1) \pm \sqrt{x+4}

               2) see graph

               3) Choose one color from the graph

               4) D: x ≥ -4

                   R: y ≥ 0 for \sqrt{x+4}     or      y ≤ 0   for -\sqrt{x+4}

<u>Step-by-step explanation:</u>

1) To find the inverse, swap the x's and y's and solve for y:

Given: y = x² - 4

Swap: x = y² - 4

    x + 4 = y²

  \pm \sqrt{x+4}=y

2) see attachment. Red and Blue combined creates the graph of the inverse.

3) Choose either the positive (red graph) or the negative (blue graph).

red graph: y= \sqrt{x+4}

blue graph: y= -\sqrt{x+4}

4) Domain reflects the x-values of the function.  The x-values for the red graph is the same as the blue graph so the answer will be the same regardless of which equation you choose.

Domain: x ≥ 0

Range reflects the y-values of the function.  The y-values differ between the positive and negative inverse functions. <em>Positive is above the x-axis. Negative is below the x-axis.</em>

Range (red graph): y ≥ 0 for  y= \sqrt{x+4}

Range (blue graph):  y ≤ 0 for y= -\sqrt{x+4}

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3 years ago
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