Answer:
Step-by-step explanation:
To find the inverse of function y=f(x), swap variables and then solve for the original variable.
![y=(x-5)^3+1\\ \\ x=(y-5)^3+1\\ \\ x-1=(y-5)^3\\ \\ \sqrt[3]{x-1}=y-5\\ \\ y=\sqrt[3]{x-1}+5\\ \\ f^{-1}(x)=\sqrt[3]{x-1}+5](https://tex.z-dn.net/?f=y%3D%28x-5%29%5E3%2B1%5C%5C%20%5C%5C%20x%3D%28y-5%29%5E3%2B1%5C%5C%20%5C%5C%20x-1%3D%28y-5%29%5E3%5C%5C%20%5C%5C%20%5Csqrt%5B3%5D%7Bx-1%7D%3Dy-5%5C%5C%20%5C%5C%20y%3D%5Csqrt%5B3%5D%7Bx-1%7D%2B5%5C%5C%20%5C%5C%20f%5E%7B-1%7D%28x%29%3D%5Csqrt%5B3%5D%7Bx-1%7D%2B5)
The inverse of a function is given as √x - 1
<h3>Inverse of a function</h3>
To get the inverse of any function f(x) we need to ensure that it passes the horizontal line test.
Given the following function
f(x) = (x+1)^2
Let y= f(x) to have:
y = (x+1)^2
Replace y with x to have:
x = (y+1)^2
Make y the subject of the formula
√x =y + 1
Subtract 1 from both sides
√x - 1 = y
Swap
y = √x - 1
Hence the inverse of a function is given as √x - 1
Learn more on inverse of a function here: brainly.com/question/3831584
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Answer:
y ≤
Step-by-step explanation:
We are to put the linear inequality;
7x - 4y ≥ 20
in slope intercept form.
We can rearrange the inequality as;
-4y ≥ - 7x + 20
Dividing throughout by -4 we get;
y ≤
- 5
Note that the inequality sign '≥' changes to '≤' since we divided all through with a negative number.
Step-by-step explanation:
D= 56t
D= 60t -2
D= Distance T=time d = 56t (Jordan) d = 60t - 2 (Roman)
d = 56t d = 60t - 2
56t = 60t - 2 d = 56(1/2) d = 60(1/2) - 2
-60t -60t d = 28 d = 30 - 2 = 28
-4t = -2
t = 1 / 2