Which equation can be simplified to find the inverse of y = 5x2 + 10?
x = 5y2 + 10, 1/y = 5x2 + 10, -y = 5x2 + 10 , y = 1/5x2 + 1/10
Solution:
Consider a function f(x) that takes all the input as x and produces y. Then the inverse function f-1(x) takes y as the input and produces the result x.
We will follow simple steps to find the inverse of y = 5x2 + 10.
Given, y = 5x2 + 10
Step 1: Interchange the variable x and y.
x = 5y2 + 10
Step 2: Subtract 10 from both sides
x - 10 = 5y2
Step 3: Divide both sides by 5.
x/5 - 2 = y2
Step 4: Take square root on both sides
f-1(x) = y = √(x/5 - 2)
Thus the inverse of y = 5x2 + 10 is y = √(x/5 - 2). x = 5y2 + 10 can be simplified to find the inverse.
Which equation can be simplified to find the inverse of y = 5x2 + 10?
Summary:
The inverse of the equation y = 5x2 + 10 is f-1(x) = y = √(x/5 - 2). x = 5y2 + 10 can be simplified to find the inverse.
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