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2 years ago

F(x) = 2/x, g(x) = |x| -1 what is the domain of (fog) (x)? WILL MARK BRAINLIEST

Mathematics

1 answer:

DIA [1.3K]2 years ago

5 0

Answer:

x≠-1,1

Step-by-step explanation:

f(g(x)) is a composition where g(x) is is substituted for x in f(x).

Recall, f(x) is 2/x. So we write 2/|x|-1. This places x in the denominator and 0 cannot be in the denominator x. Any value of x that makes the denominator 0 will not be in the domain.

|x|-1=0

|x|=1

x=1,-1

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Tell wether the angles are adjacent or vertical. Then find the value of x.

Gre4nikov [31]

Answer:

The angles are vertical

Step-by-step explanation:

x+42+2x+1=180

put the like terms together i.e 2x+x+42+1=180

you get: 3x+43=180

Take 43 to th other side of 180 i.e 3x=180-43 i.e (180-43=137)

You get 3x=137

Divide both sides by 3

you get x=45.666666666667(Round off to get 45.67)

Substitute the value of x to the angles

x+42(45.67+42=87.67)

2x+1(2(45.67)+1=92.34

Add 87.67+92.34=180

THis shows that the angles are vertical

8 0

2 years ago

Triangle P Q R is shown. The length of P Q is 20 and the length of P R is 12. Angle Q P R is 68 degrees and angle P Q R is 36 de

Tom [10]

Answer:

<h2> 112.3 square units</h2>

Step-by-step explanation:

Find the sketch of the triangle attached.

Area of the triangle = $\frac{1}{2}|PQ| |PR| sinQPR$

Given PQ = 20, PR = 12 and ∠QPR = 68°

Area of the triangle = 1/2 * 20 * 12 * sin68°

Area of the triangle = 120sin68°

Area of the triangle = 112.26 square units

Area of the triangle ≈ 112.3 square units (to the nearest tenth of a square unit)

3 0

2 years ago

Read 2 more answers

Is this congruent or not congruent? And is this

Alex_Xolod [135]

It's congruent by AAS

8 0

2 years ago

Read 2 more answers

68. Solve: 46x - 10) = 8x + 40<br>A 0<br>B.5/2<br>ina<br>c. 23<br>D. 5

Artist 52 [7]

Solve: 4(6x - 10) = 8x + 40

A 0

B.5/2

c. 23

D. 5

<h3><u>Answer:</u></h3>

Option D

The solution to given equation is x = 5

<h3><u>Solution:</u></h3>

Given that we have to solve the given equation

4(6x - 10) = 8x + 40

Let us solve the above expression and find value of "x"

Multiplying 4 with terms inside bracket in L.H.S we get,

24x - 40 = 8x + 40

Move the variables to one side and constant terms to other side

24x - 8x = 40 + 40

Combine the like terms,

16x = 80

$x = \frac{80}{16} = 5$

Thus solution to given equation is x = 5

3 0

3 years ago

What are the roots of 3x^2+10=4x

KATRIN_1 [288]

2sqrt3/3, -2sqrt3/3
hope this helps

8 0

3 years ago