Determine the domain of the function (f o g)((x) where:

You have the correct answer. It's choice B

Domain =

Nice work.

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Explanation:

The domain of g(x) is found by setting 2-5x greater than or equal to 0 and solving for x. We're doing this to ensure that 2-5x is not negative.

So we can plug in any number smaller than 2/5, or we can plug in 2/5 itself, into the g(x) function to get some output.

However, notice that if x = 2/5, then g(x) = 0. This then would feed into the f(x) function and lead to a division by zero error. Therefore, x = 2/5 must be kicked out of the domain of (f o g)(x). We keep everything else that we found earlier.

In short, the domain as an inequality is , which is the same as saying and that converts to the interval notation

We don't use a square bracket because we don't want to include the endpoint 2/5.

The word "cover" indicates it is the area that we are looking for.
area of the top: 13*9=117
area of the bottom:117
area of the front side: 13*3=39
area of the back side: 39
area of the right side: 9*3=27
area of the left side: 27
add them all up: 117+117+39+39+27+27=366
No, one can is not enough to cover the whole cake.

Please use a calculator to double check my calculations