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2 years ago

Find the domain of the function. f(x)= x+2/1-X

Mathematics

1 answer:

Ymorist [56]2 years ago

3 0

Answer:

all real numbers expect 1.

Step-by-step explanation: This is a rational function. when we usually the find the domain of a rational function we would look at the bottom because you don't want the denomonatior to be zero because dividing by zero in math makes the range undefined. so we use the equation and set it up to zero to find the domain. 1-x=0 -x=-1, divide by -1 and we get 1. So x can be any numbers expect 1. Interval notation: (-∞,1)∪(1,+∞)

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Reciprocal of 12 by 15 is

romanna [79]

the reciprocal is 15 by 12

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2 years ago

Someone help me out please

uysha [10]

1 step (B): raise both sides of the equation to the power of 2.

$(\sqrt{x+3}-\sqrt{2x-1})^2=(-2)^2,\\ (x+3)-2\sqrt{x+3}\cdot \sqrt{2x-1}+(2x-1)=4,\\ 3x+2-2\sqrt{x+3}\cdot \sqrt{2x-1}=4$ .

2 step (A): simplify to obtain the final radical term on one side of the equation.

$-2\sqrt{x+3}\cdot \sqrt{2x-1}=4-3x-2,\\ -2\sqrt{x+3}\cdot \sqrt{2x-1}=2-3x,\\ 2\sqrt{x+3}\cdot \sqrt{2x-1}=3x-2$ .

3 step (F): raise both sides of the equation to the power of 2 again.

$(2\sqrt{x+3}\cdot \sqrt{2x-1})^2=(3x-2)^2,\\ 4(x+3)(2x-1)=(3x-2)^2$ .

4 step (E): simplify to get a quadratic equation.

$4(2x^2-x+6x-3)=(3x)^2-2\cdot 3x\cdot 2+2^2,\\ 8x^2+20x-12=9x^2-12x+4,\\ x^2-32x+16=0$ .

5 step (D): use the quadratic formula to find the values of x.

$D=(-32)^2-4\cdot 16=1024-64=960, \\ \sqrt{D} =8\sqrt{5} ,\\ x_{1,2}=\dfrac{32\pm 8\sqrt{5}}{2} =16\pm 4\sqrt{5}$ .

6 step (C): apply the zero product rule.

$x^2-32x+16=(x-16-4\sqrt{5}) (x-16+4\sqrt{5}) ,\\ (x-16-4\sqrt{5}) (x-16+4\sqrt{5}) =0,\\ x_1=16+4\sqrt{5} ,x_2=16-4\sqrt{5}$ .

Additional 7 step: check these solutions, substituting into the initial equation.

3 0

2 years ago

The radius of the circle is 3 millimeters. what is the circles area

Irina18 [472]

Answer:

28.26 millimeters

4 0

3 years ago

Is 500 is 10 times as much as 50

12345 [234]

Yes, since 50 x 10 = 500.

8 0

3 years ago

Read 2 more answers

josie cast a shadow of 6ft and she is 5 ft 6 in tall. A building cast a shadow of 18 ft at the same time that josie measured her

Debora [2.8K]

Josie's height = 5 ft 6 in. = 5 1/2 ft = 11/2 ft.
Josie's shadow = 6 ft.

Ratio of shadow to height = 6 / 11/2 = 12/11
So, It would be equal to ratio of building's shadow to building's height.

18/x = 12/11
x = 18*11 /12
x = 3*11 / 2
x = 16.5

In short, Your Answer would be 16.5 Feet

Hope this helps!

6 0

2 years ago