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3 years ago

3. Graph y=-4x² – 2 and its inverse. (1 point)

Mathematics

1 answer:

madam [21]3 years ago

6 0

Function and its inverse was graphed.

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

y = -4x²- 2

To find the inverse function of y = -4x²- 2 we have to transform the formula to calculate x in terms of y.

y = -4x²- 2

-4x² = y - 2

x = √(y-2) / -4

Now we can change the letters to follow the convention that x is the independent variable and y is the function's value:

y = √(x-2) / -4

Now we have to draw the graph as,

It was side by side that is LHS is the function and the RHS is its inverse.

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Which expression is equivalent to...? Assume... screenshots attached, please help!

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Answer:

$\frac{\sqrt[3]{5} }{3x}$

Step-by-step explanation:

Ok, let's do this step by step....

$\sqrt[3]{\frac{10x^{5} }{54x^{8} } }$

Let's first simplify the x's:

$\sqrt[3]{\frac{10}{54x^{3} } }$

Then we breakdown the 54 as 2 * 27 then simplify with the 10 above.

$\sqrt[3]{\frac{10}{2 * 27x^{3} } } = \sqrt[3]{\frac{5}{27x^{3} } }$

Now, we can rewrite this as the following and solve the bottom part:

$\frac{\sqrt[3]{5} }{\sqrt[3]{27x^{3} } } = \frac{\sqrt[3]{5} }{3 \sqrt[3]{x^{3} } } = \frac{\sqrt[3]{5} }{3x}$

The solution is

$\frac{\sqrt[3]{5} }{3x}$

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