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
Get this equation into y=mx+b form.
y-2=-3(x-4)
y-2=-3x+12
y=-3x+12+2
y=-3x+14
Hope this helps!
And just a note, this is provided in point-slope formula, meaning there is a point on the line, (4,2), based on the initial equation.
Answer:
You can break 24 things
Step-by-step explanation:
One minute is 60 seconds, so all you have to do is double how many things you can break in 30 seconds
Answer: 70%
Step-by-step explanation:
Step 1:
Total number of teachers = 63 + 27
= 90
Step 2:
The percentage of the teachers in the meeting were first-year teachers:
(63 ÷ 90) × 100 = 70%
