The curve y= (1-x)/(x-3) is concave up when:

Step-by-step explanation:

The given function is

To find where the function is concave up, we have to find the second derivative of the function.

The derivative of a fraction is

Where and .

Using the property, we have

Then, we repeat the process to find the secon derivative

For a concave up inflection, we must evalute

Therefore, the curve is concave up when .

In the image attached you can observe this behaviour.

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i

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step-by-step explanation: