State the domain of f•g.

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Explanation:

The idea is to start with f(x), then replace every copy of x with g(x) so that you end up with the composition function as shown below.

The notation is the same as

I prefer as it is more descriptive.

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Now onto computing the domain. We want to avoid dividing by zero, and we want to avoid taking the square root of a negative number.

This means the expression x+3 must be larger than 0. That way will also be larger than 0.

If x+3 > 0, then x > -3 after subtracting 3 from both sides.

As long as x is larger than -3, then it is a valid input to the composite function

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

hi there!

the answer will be d: 2