In the inverse we replace the place of x by y .
![g(x) = \sqrt[3]{x} - 3 \\ \\ x = \sqrt[3]{y} - 3 \\ \sqrt[3]{y} = x + 3 \\ y = {(x + 3)}^{3} \\ y = {(x + 3)}^{2} (x + 3) \\ y = ({x}^{2} + 6x + 9)(x + 3) \\ \\ y = {x}^{3} + 6 {x}^{2} + 9x + 3 {x}^{2} + 18x + 27 \\ \\ y = {x}^{3} + 9 {x}^{2} + 27x + 27 \\ \\ \\ g(x)^{ - 1} = {x}^{3} + 9 {x}^{2} + 27x + 27](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%20%5Csqrt%5B3%5D%7Bx%7D%20%20-%203%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Csqrt%5B3%5D%7By%7D%20%20-%203%20%5C%5C%20%20%5Csqrt%5B3%5D%7By%7D%20%20%3D%20x%20%2B%203%20%5C%5C%20y%20%3D%20%20%7B%28x%20%2B%203%29%7D%5E%7B3%7D%20%20%5C%5C%20y%20%3D%20%20%7B%28x%20%2B%203%29%7D%5E%7B2%7D%20%28x%20%2B%203%29%20%5C%5C%20y%20%3D%20%20%28%7Bx%7D%5E%7B2%7D%20%20%2B%206x%20%2B%209%29%28x%20%2B%203%29%20%5C%5C%20%5C%5C%20%20y%20%3D%20%20%7Bx%7D%5E%7B3%7D%20%20%2B%206%20%7Bx%7D%5E%7B2%7D%20%20%2B%209x%20%2B%203%20%7Bx%7D%5E%7B2%7D%20%20%2B%2018x%20%2B%2027%20%5C%5C%20%20%5C%5C%20y%20%3D%20%20%7Bx%7D%5E%7B3%7D%20%20%2B%209%20%7Bx%7D%5E%7B2%7D%20%20%2B%2027x%20%2B%2027%20%5C%5C%20%20%20%5C%5C%20%5C%5C%20g%28x%29%5E%7B%20-%201%7D%20%20%3D%20%20%7Bx%7D%5E%7B3%7D%20%20%2B%209%20%7Bx%7D%5E%7B2%7D%20%20%2B%2027x%20%2B%2027%20)
I hope I helped you^_^
5a^3 + 3b^4
insert the numbers into the equation.
5(4)^3 + 3(-5)^4
evaluate
5(64) + 3(625)
evaluate
320 + 1875
the solution is:
2195
The given system of equations represent a single line with positive slope. So option C is correct.
<u>SOLUTION:
</u>
Given system of equations are
Now, if we observe, 
multiplying the 
equation with 2 results in 
equation.
which means the two line equations represents the same line.
Now, let us find the slope of line, 
So, the line has a positive slope.
Problem 1
The portion from t = 0 to t = 5 represents going downhill, which is a total duration of 5 seconds. This is because the speed is going up (the y values are increasing) as you move from right to left for this interval. It looks like you're going uphill here, but keep in mind that the y axis is not position. Instead, the y axis represents speed.
Answer: 5 seconds
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Problem 2
You have the correct table. Nice job. Don't forget to show your work if your teacher requires it.
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Problem 3
f(x) = x*|-2|^x
f(3) = 3*|-2|^3 ... replace every x with 3
f(3) = 3*(2)^3
f(3) = 3*8
f(3) = 24
The input is x = 3 which leads to the output y = 24
The ordered pair (x,y) = (3,24) is on the function curve
Answer: 24
