Write a linear function f with (1,-1) (0,1) (-1,3)
1 answer:
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Answer:
2
Step-by-step explanation:
So to figure this out we just need to flip the values of x and y in the table and then redefine that as the function g(x), because an inverse is essentially the reverse!
So if we flipped x and y's for f(x). We would see that our output or y of g(x) is -3 when x = 2, or in other words g(2) = -3. This means that we are now going to solve for when f(-3). So now lets look at the table and find the value at x = -3 for f(x). This value is 2, so the value of f(g(2)) = 2.
*In the future*
When you have a composite function of two inverses they essentially cancel out and would leave whatever the value of x is. So if we know f(x) and g(x) were inverses the value of f(g(2)) would just be 2.
For example:
ln(x) and e^x are inverses so if I had a composition like this:
The answer to this would be 2 because these inverse functions "'cancel" out
So
The expression represents the number of gallons used is m/22.
Given
Nikki can drive her car 22 miles on each gallon of gasoline.
<h3>What is the unit rate?</h3>A rate is a ratio that is used for comparing two different kinds of quantities which have different units.
To find the number of gallons used we will divide the total distance traveled by distance traveled in one gallon.
Therefore,
If Nikki drives m miles, the expression represents the number of gallons used is;
Hence, the expression represents the number of gallons used is m/22.
To know more about the Unit rate click the link given below.