Pleasee help !!! finding equation of the image

1 answer:

Lisa [10]2 years ago

6 0

Answer:

Step-by-step explanation:

Here, we want to write the final formula for the equation after performing the given transformations

Reflection on the y-axis means the x-axis value will change sign

that will give:

y = -x^1/3

Transition of 3 units in the positive x axis

mathematically, we are adding 3 to x

so we have

y = -(x+3)^1/3

4 units in the negative y direction means we are subtracting 4 from the whole equation

That means;

y = -(x + 3)^1/3 - 4

This shows that the first option is right

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Eva8 [605]

Answer:

$-\frac{104}{41}$

Step-by-step explanation:

$\frac{f(x)}{g(x)}=\frac{3-2x}{\frac{1}{x} +5}$

To make this easier to deal with, we can plug in 8 first:

$\frac{f(8)}{g(8)}=\frac{3-2(8)}{\frac{1}{(8)}+5 }$
Then we can simplify the terms to get $\frac{3-16}{\frac{1}{8} +5}=\frac{-13}{\frac{1}{8} +5}$
The denominator of this fraction needs to have its own common denominator. To do so, we can multiply the 5 by $\frac{8}{8}$ to give us: $\frac{1}{8}+\frac{40}{8}$
We can then simplify this to $\frac{41}{8}$
Now putting this back into our original fraction we have: $\frac{-13}{\frac{41}{8} }$
This is also equivalent to $\frac{(\frac{-13}{1} )}{(\frac{41}{8} )}$ which means we need to take the whole denominator of the fraction and flip it and multiply it by the numerator to get: $\frac{-13}{1}*\frac{8}{41}$
This then simplifies to $\frac{-104}{41}$