Answer:
The functions are inverses; f(g(x)) = x ⇒ answer D
⇒ answer D
Step-by-step explanation:
* <em>Lets explain how to find the inverse of a function</em>
- Let f(x) = y
- Exchange x and y
- Solve to find the new y
- The new y = 
* <em>Lets use these steps to solve the problems</em>
∵ 
∵ f(x) = y
∴ 
- Exchange x and y
∴ 
- Square the two sides
∴ x² = y - 3
- Add 3 to both sides
∴ x² + 3 = y
- Change y by 
∴ 
∵ g(x) = x² + 3
∴ 
∴ <u><em>The functions are inverses to each other</em></u>
* <em>Now lets find f(g(x))</em>
- To find f(g(x)) substitute x in f(x) by g(x)
∵ 
∵ g(x) = x² + 3
∴ 
∴ <u><em>f(g(x)) = x</em></u>
∴ The functions are inverses; f(g(x)) = x
* <em>Lets find the inverse of h(x)</em>
∵ h(x) = 3x² - 1 where x ≥ 0
- Let h(x) = y
∴ y = 3x² - 1
- Exchange x and y
∴ x = 3y² - 1
- Add 1 to both sides
∴ x + 1 = 3y²
- Divide both sides by 3
∴ 
- Take √ for both sides
∴ ± 
∵ x ≥ 0
∴ We will chose the positive value of the square root
∴ 
- replace y by 
∴ 
Do you want a ratio? If yes, the ratio is 120:52
Answer:
Step-by-step explanation:
1 in: 30 km
4.3 inches * 30km= 129 km
Since every inch is the same as 30 km.
Second problem
20 test: 163 mins
8.15 mins per test
44*8.15= 358.6 mins round to the nearest whole is 359 mins
<h2>Here </h2>
Tan65°=<u>h/</u><u>7</u><u>5</u><u>m</u>
<u> </u><u>2</u><u>.</u><u>1</u><u>4</u><u>4</u><u>5</u><u> </u><u>×</u><u> </u><u>7</u><u>5</u><u> </u><u>=</u><u> </u><u>h</u>
<u>h </u><u>=</u><u> </u><u>1</u><u>6</u><u>0</u><u>.</u><u>8</u><u>3</u>
Step-by-step explanation:
This is very very simple