All categories

2 years ago

Inverse of 6(x+2)^2 -6

Mathematics

1 answer:

Julli [10]2 years ago

7 0

Answer:

Step-by-step explanation:

f(x) = 6(x+2)²-6

f⁻¹(f(x)) = x

f(x) = t => 6(x+2)²-6 = t =>

=> 6(x+2)² = t+6 =>

=> (x+2)² = t/6 + 1

=> x+2 = ±√(t/6 + 1)

=> x = ±√(t/6 + 1) - 2

=> f⁻¹(x) =

{√(x/6 + 1) - 2, x > -6

{-√(x/6 + 1) - 2, x ≤ -6

You might be interested in

To get into shape, Miles ran for 1 minute on Monday, 3 minutes on Tuesday, 6 minutes on Wednesday, and 10 minutes on Thursday. I

Eduardwww [97]

Answer:

15 minutes??

I guess?

Step-by-step explanation:

Im really not sure

There's a pattern!!

You just need to count how many numbers passed by!

Clear?

3 0

2 years ago

For a field trip for students Road in cars and the rest filled nine buses how many students were in each bus it for how to 72 st

jasenka [17]

72 divided by 9 equals 8
72/9=8

8 0

3 years ago

I just need 30 please

PIT_PIT [208]

In the smaller triangle, let $y$ be the length of the smallest leg. Then the smallest leg in the larger triangle is $14-y$ .

Within the scope of the smaller triangle, we have $y$ such that

$x^2+y^2=13^2\implies y=\sqrt{13^2-x^2}$

Then within the larger the triangle, we would have

$x^2+(14-y)^2=15^2\iff x^2+\left(14-\sqrt{13^2-x^2}\right)^2=15^2$

Now we can solve for $x$ :

$x^2+14^2-28\sqrt{13^2-x^2}+(13^2-x^2)=15^2$

$\implies x=12$

8 0

3 years ago

We are learning how to find the volume of a prism. Look at the picture and please help me understand it I need the answer

Arturiano [62]

The volume is 96.
v=l*w*h
v=6*3*3=54
v=2*3*7=42
54+42=96

Hope this helps

6 0

3 years ago

The length of a rectangle is 2 inches more than its width. The perimeter of the rectangle is 24 inches. The equation 2x + 2(x +

Ulleksa [173]

Answer:

Width is 5 and length is 7

Step-by-step explanation:

You can solve the equation using the distributive property and inverse operations.

2x +2(x+2)=24

2x + 2x + 4 = 24

4x + 4 = 24

4x = 20

X = 5

This means the width is 5 and the length is 7.

8 0

2 years ago