Answer:
f⁻¹(x) = x - 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Functions
- Function Notation
- Inverse Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = x + 3
<u>Step 2: Find</u>
- Swap: x = y + 3
- [Subtraction Property of Equality] Isolate <em>y</em>: x - 3 = y
- Rewrite: f⁻¹(x) = x - 3
Answer:
you need to write the article name or a picture of the article to get a correct answer.
Step-by-step explanation:
Hello!
First of all, we can subtract the stretching time. This gives us 20. If we divide by the four laps we get 5 minutes per lap.
Now, one lap is 400 meters (most tracks are), which is equal to 15,748.03 inches. This means it takes her five minutes to walk 15,748.03 inches. This is also equal to 300 seconds, so it takes her 300 minutes per 15,748.03 inches.
But if we round our big inches number to the nearest ten thousandth, we get 16,000, so in a simpler form her pace is 300/16,000. But we need to find in per second. Therefore we will divide by 300 to find how many inches she walks per second. This means she walks about 53.33 inches per second.
I hope this helps!
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Answer:
f^-1(x) = (x +4)/3
Step-by-step explanation:
The inverse function is found by swapping x and y, then solving for y.
y = 3x -4 . . . . . function y = f(x)
x = 3y -4 . . . . . inverse relation
x +4 = 3y . . . . add 4
(x +4)/3 = y . . . divide by 3. This is the inverse function
f^-1(x) = (x +4)/3
