# Tutor profile: Brianna G.

## Questions

### Subject: Pre-Calculus

How do you find the domain of the function g(x) = $$ \sqrt{5-x} $$ ? Write your answer in interval notation.

The domain is the set of all possible x-values that will make the function "work". In this problem, the domain has to be greater than or equal to 0 in order to solve for a square root. Step 1: Set 5-X ≥ 0 Step 2: Add X to the side holding 0 New problem = 5 ≥ X Step 3: Interpret the problem, the number 5 is greater than or equal to the value of X Step 4: Find the lower limit, 5 is greater than any value of X, so X must be less than 5, so the lower limit is -∞ Step 5: Find the upper limit, equal to 5, so upper limit is 5 Step 6: Write in interval notation, the lower limit is written first, followed by a comma and the upper limit. To enclose the notation, use a soft parentheses when using infinity or a greater/less than symbol. Use hard brackets when the number can be greater/less than or equal to. Final answer: (-∞,5]

### Subject: Writing

What error has been made in the following example? Describe the error made and provide a solution. "Henry's Hen-House went public in 2014, Gary's Grocer started selling its product soon after."

The error that was made above is called a comma splice. A comma splice happens when two independent clauses or two sentences are incorrectly joined or spliced together with a comma. A single comma separating two sentences that can stand alone (each have a subject & verb) is not adequate. To solve this, here are three examples: "Henry's Hen-House went public in 2014, and Gary's Grocer started selling its product soon after." "Henry's Hen-House went public in 2014; Gary's Grocer started selling its product soon after." "Henry's Hen-House went public in 2014. Gary's Grocer started selling its product soon after."

### Subject: Macroeconomics

There are two types of inflation that can affect aggregate demand and aggregate supply, demand-pull and cost-push. What are the effects of cost-push inflation? Does cost-push inflation change demand or supply?

Cost-push inflation occurs when the prices of inputs in a particular good or service rise, causing a business to incur more production expenses. As their cost to produce rises, they must also raise the price of the their good or service to account for the increase in expenses. Cost-push inflation decreases the level of real domestic output and increases the price level or the price consumers pay for the good. This type of inflation has an affect on the aggregate supply model.

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