Hi again!
n = 3
Evaluate:
n² - 5n + 2
(3)² - 5(3) + 2
9 - 15 + 2
-6 + 2
= -4
As always, it is my pleasure to help students like you!
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
∴
Use distributive property
2 = 2m - 16 - 2
Simplify
2 = 2m - 18
Add 18
20 = 2m
m = 10
The answer to Em um triângulo retângulo a hipotenusa mede 15 cm e um dos catetos mede 12 cm.Qual é o perímetro desse retângulo?
<span><span><span>borda a =12 </span>unidades
</span><span><span>borda b =9 </span>unidades
</span><span><span>borda c =15 </span>unidades
</span><span><span>ângulo A =</span>53.1 graus
</span><span><span>ângulo B =36.9 </span>graus
</span><span><span>área=54 </span>square </span></span>unidades
Agora temos que
Determinar o comprimento da base do triângulo.
Calcula-se a altura do triângulo.
Multiplicar o comprimento da base por o comprimento da altura.
Multiplique por dois.
<span>Adicionar a unidade de medida apropriada.</span>