Both the equation and its inverse are functions.
In order to tell this, we first need to look at the inverse of the function. You can find the inverse of any function by switching the f(x) value and the x value. Then solve for the new f(x) value. The result will be your inverse function. Below is the step-by-step process for solving this one.
f(x) = 3x^2 + 5 ----> Switch the f(x) and x values
x = 3f(x)^2 + 5 ----> Subtract 5 from both sides
x - 5 = 3f(x)^2 ----> Divide both sides by 3
= f(x)^2 ----> Take the square root of both sides.
= f(x) ----> Change the order for formatting purposes.
f(x) =
Now you have the inverse function. You'll notice with both cases, there is only one output for each input. No matter what we put in for x in both cases, there will be only one f(x) value that comes out. This is the definition of a function and thus proves both the original and new inverse are both functions.
Answer:
Step-by-step explanation:
charge q1 is placed at x = 1.90 m and the charge q2 is placed at y = 1.15 m
here, the charge enclosed in a sphere is zero as the radius of sphere is 0.625 m which is less than the x = 1.90 m and y = 1.15 m. So by the Gauss's theorem,
where q is the charge enclosed, as the charge enclosed is zero so the electric flux is zero.