2 years ago

State the Domain & the Range. g(x) = |x – 1| + 2 Domain: Range:

Mathematics

1 answer:

Sati [7]2 years ago

6 0

Answer:

domain: (-oo,oo)

range:[2,oo)

You might be interested in

Solve the equations for all values of x by completing the square x^2+62=-16x

lorasvet [3.4K]

Answer:

$x = \sqrt{2} - 8\\x = -\sqrt{2} - 8$

Step-by-step explanation:

To complete the square, we first have to get our equation into $ax^2 + bx = c$ form.

First we add 16x to both sides:

$x^2 + 16x + 62 = 0$

And now we subtract 62 from both sides.

$x^2 + 16x = -62$

We now have to add $(\frac{b}{2})^2$ to both sides of the equation. b is 16, so this value becomes $(16\div2)^2 = 8^2 = 64$ .

$x^2 + 16x + 64 = -62+64$

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because $8\cdot8=64$ and $8+8=16$ .

$(x+8)^2 = -62 + 64$

We can now take the square root of both sides.

$x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}$

We can now isolate x on one side by subtracting 8 from both sides.

$x = \pm\sqrt{2} - 8$

So our solutions are

$x = \sqrt{2} - 8\\x = -\sqrt{2} - 8$

Hope this helped!

4 0

3 years ago

Solve the solution of a system of linear equation<br><br> 1/2 x + y = - 6<br> 6 x + 2 y = 8

Lilit [14]

Answer:

(4,-8)

Step-by-step explanation:

Plug in the answers for the equations.

4 0

3 years ago

Greatest common factor for 27,54,and81

IceJOKER [234]

9
27/9 = 3
54/9 = 6
81/9 = 9

3 0

3 years ago

3 pizzas for $ 16.50 what is the unit rate for one pizza

o-na [289]

The answer is 5.50$ you have to divide 16.50/ 3

8 0

3 years ago

Read 2 more answers

(7x2+3x-6)-(-4x2+x-2)

Alex17521 [72]

The correct answer is 4 ( 6x - 1 )

7 0

3 years ago

Read 2 more answers