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
I think your answer is B. -1/2
Explanation: the rise is -4 and the run is 8. If u divide those by 2, you get -2 and 4. You divide that by half and get -1/2??
Answer:
the slope is POSITIVE (answer A)
Step-by-step explanation:
The line goes through: (-1, -2) and ( 2, 1)
Then the slope can be calculated as:
slope = (y2 - y1) / (x2 - x1)
in our case:
slope = (1 - -2) / (2 - -1) = (1 + 2) / (2 + 1) = 3 / 3 = 1
Therefore, the slope is POSITIVE (answer A)
answer:
26 feet
step by step explanation:
40 - 5.2 = 35.2 - 8 = 27 - 1 = 26