Answer: To find the inverse of the function, we need to make x as a function of y and at the final step make a switch between x and y (i.e. make x as y and y as x)
y = x² + 4x + 4 ⇒⇒⇒ factor the quadratic equation
y = (x+2)(x+2)
y = (x+2)² ⇒⇒⇒ take the square root to both sides
√y = x+2
x = √y - 2 ⇒⇒⇒ x becomes a function of y
final step:
∴ y = √x - 2 ⇒⇒⇒ the inverse of the given function
So, as a conclusion:
f(x) = y = x² + 4x + 4 ⇒⇒⇒ the given function
f⁻¹(x) = y = √x - 2 ⇒⇒⇒ the inverse of the given function
Answer:
$22,360
Step-by-step explanation:
Whenever you have a percentage increase, multiply the original value with the percent in decimal form plus one. For example, $21,500 increased by 4% is the equivalent to 21,500 * 1.04. If it decreased by 8%, you would do 21,500 / 1.08.
Just put them in order from least to greatest and find out in between which number to put them . For example put 24 between 20 and 25.
Hope that helps .
Answer:
The answer to your question is "2"
Step-by-step explanation:
Data
12x - 7 > 6
Process
1.- Add +7 in both sides of the inequality
12x - 7 + 7 > 6 + 7
2.- Simplify
12x > 13
3.- Divide by 12 both sides
12x/12 > 13/12
x > 13/12 or x > 1.08
4.- Conclusion
All the numbers higher than 1.08 are solutions of this inequality
Then, from the choices, the only possible solution is 2.
Answer:
$38,465
Step-by-step explanation:
35 x 1,099 = 38,465
