What is the algebraic inverse of the function? f(x) = 2x -6 please include steps

Answer:

domain is the set of numbers you can use for x

Step-by-step explanation:

log_4(x+3)=y means

I mean it translates to

4^y=x+3

remember that x^m≥0 for all real values of x and m

it actually can equal 0 only when x=0 or when x is very small

so

therefor since 4^y>0, x+3>0 as well

solving we get

x>-3

all real numbers greater than -3

2nd option

Answer:

As follows,

Step-by-step explanation:

The sum of the angles of any triangle is 180.

∠U=69

∠D=42

∠E=35

∠F=35

∠G=55

∠H=45

∠I=45

∠J=15

∠M=120

∠K=15

∠L=75

∠Q=55

∠R=55

∠S=42

∠T=42

∠P=21

∠O=69

∠N=21

∠A=60

∠B=60

∠C=60

Step-by-step explanation:

21. x² - 4x - 5 > 0

→ (x - 5) (x - 1) > 0

{x - 5 > 0

{x + 1 > 0

{x - 5 < 0

{x + 1 < 0

{x > 5

{x > -1

{x < 5

{x < -1

= x < -1 or x > 5

therefore, option A is correct

22). 4p² - 1 ≤ 0

(2p - 1) (2p + 1) ≤ 0

{2p - 1 ≤ 0

{2p + 1 ≥ 0

{2p - 1 ≥ 0

{2p + 1 ≤ 0

{p ≤ 1/2

{p ≥ -1/2

{p ≥ 1/2

{p ≤ -1/2

1/2 ≤ p ≤ 1/2

{p ≥ 1/2

{p ≤ -1/2

-1/2 ≤ p ≤ 1/2

therefore, option A is correct.

23). y < 3x² + 3x - 6

3x² + 3x - 6 = 0

3x² + 6x - 3x - 6 = 0

3x(x +2) - 3(x +2) = 0

(x +2) (3) (-3) = 0

x = -2, 1

this is the correct ans. but their is no option similar to it.

25. x and y are root of

m² - 11m + 18 = 0

hence, x + y = 11

xy = 18

2xy = 36

now, x² + y²

= (x +y)² - 2xy

= (11)² - 36

= 121 - 36

= 85

therefore, option A is correct.

26. x² - 2x - 120

(x -1)² - 1 - 1² = 0

(x -1)² = 1 + 1²

x - 1² = 2

x - 1 = ±√2

1 ± √2

therefore, option A is correct.

hope this answer helps you dear..take care!

Answer:

Step-by-step explanation:

21) x² - 4x - 5 > 0

x² - x + 5x - 5 > 0

x(x - 1) + 5(x - 1) > 0

(x - 1) (x + 5) > 0

x - 1 >0   or  x + 5 > 0

x > 1       or  x > - 5    Ans: D

22)  4p² ≤ 1

p² ≤ 1/4

p ≤ 1/2  or  p ≥ -1/2

-1/2  ≥ p ≤ 1/2

23)y < 3x² + 3x - 6

(1 , -7)

x = 1  and y = -7

-7 < 3*1 + 3*1 - 6

-7 < 3 + 3 - 6

-7 < 0

(1 , -7) satisfies the equation.

Option b

24) 5x² - 7x = 0

a = 5  ; b = -7  ;c = 0

Discriminant = b² - 4ac =  49 - 0 = 0

[tex]x = \dfrac{-b+\sqrt{D}}{2a} \ ; \ \dfrac{-b-\sqrt{D}}{2a}\\\\x = \dfrac{7+\sqrt{49}}{10} ; \dfrac{7-\sqrt{49}}{10}\\\\x = \dfrac{7+7}{10};\dfrac{7-7}{10}\\\\x =\dfrac{14}{10} ; 0\\\\x = \dfrac{7}{5}; 0[/tex]

x = 0 ; x = 7/5  Option a)

25) m² - 11 m + 18 = 0

m² - 2m - 9m + (-9)*(-2) = 0

m(m - 2) - 9(m - 2) = 0

(m - 2)(m - 9) = 0

m = 2 , 9

x = 2 and y =9

x² + y² = 2² + 9² = 4 + 81 = 85   Option a)

26) x² - 2x - 1 = 0

Add the constant 1 to both sides

x² - 2x = 1

Divide the coefficient of x by 2.  2/2 = 1. Now add this 1 to both sides of the equation.

x² - 2x  + 1  = 1+1

x² - 2x + 1 = 2

(x - 1)² = 2

Take square root

x - 1 = ±√2

x  = 1 ± √2    Option a)

Answer:

plz explain simplier

Step-by-step explanation:

Answer:

Step-by-step explanation:

The word stealing in the given excerpt denotes; taking over

This question is gotten from the excerpt from the Narrative of the Life of Frederick Douglass.

Now, from the given narrative, we see that her frame already racked with the pains of old age, and complete helplessness fast stealing over her once active limbs.

Thus, this means that the word stealing denotes that taking over her active limbs.

Read more about excerpt at; https://brainly.com/question/21400963

#SPJ1

Answer:

Taking over.

Step-by-step explanation:

Answer:

square root

Step-by-step explanation: i think this is right but please tell me if it is wrong

Answer

Xét f'(x)=0, tìm các giá trị x, lập bảng biến thiên

Đồ thị:

Step-by-step explanation:

Answer:

-4,-3 2/3, -1 2/3, -1/2, 2/3, 5 1/2

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Ants love to eat Whales. You learn something new everyday! :)

Step-by-step explanation:

i hope this is what you need

Answer:

A?

Step-by-step explanation:

Answer:

85.4

Step-by-step explanation:

Answer:

285

Step-by-step explanation:

assuming youre saying 1265 = 660 + 325 + g

Answer:

-4

Step-by-step explanation:

If you solve the inequality, you'll get

5x - 5 > - 20

5x > -15

x < -3

So you know that x values can be from -∞ to -3

So in the interval of [-4,3] the only value less than -3 is -4 so that's the answer.

Hope this helps! :)

Answer:

white

4 were sold

3 more gray were sold than white

3 colors sold 10 or more

Answer:

a) White

b) 3

c) 3

Step-by-step explanation:

a) White as it is the shortest bar (has the lowest height and only has 4 t-shirts sold)

b) According to the bar graph, 7 grey t-shirts were sold and 4 white t-shirts were sold. Subtracting 4 from 7 = 7-4 = 3

Hence, 3

c) At least 10 T-shirts sold, suggests that it was greater than or equal to 10. According to the graph, black has 12, tan has 11, and brown has 10. Hence,

3 colors had at least 10 t-shirts sold.

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Feel free to mark this as brainliest!

Adjoa's got 4265.46 Ghc as his take home pay for the past month.

The question gave us his gross salary, which means everything he earned. At the same time, giving us a particular number as deduction. To calculate the net salary, all we have to do is to subtract the deduction from the gross salary, And thus;

4687.24 - 421.78 = 4265.46 Ghc

to learn more, see here  https://brainly.com/question/16688602

Answer:

Below in bold.

Step-by-step explanation:

y = 40 degrees ( opposite angles)

The triangle on the left is isosceles so

2x + 2x + 40 = 180

4x = 140

x = 35 degrees.

Answer:

Dude Where's the attachment

Step-by-step explanation:

This is incomplete without image

Answer:

45

Step-by-step explanation:

nnnnnnnnnnbbbbbbbhhhhbjjjj

0.5% of 100

is equivalent to multiplying them:

0.5% × 100 = 0.5

Answer:

Is this a question??

Step-by-step explanation:

Answer:

Answer: on the number line it would go from 0 and with a positive line go to 3 and when it’s dive down it would with a negative line go 9 spaces towards the negative side of the number line and the answer would be -6 I think that kind of exsplains it step by step there but let me know if you information :) please leave a thanks and five stars I need some for my own quiz! Thank you!

Step-by-step explanation:

Answer:

[tex]\frac{11}{3}[/tex]

Step-by-step explanation:

Multiply the denominator by the whole number, then add the numerator.

3 × 2 + 5 = 11

Keep the denominator.

[tex]\frac{11}{3}[/tex]

Answer:

11/3

Step-by-step explanation:

1. To change a mixed number into an improper fraction, multiply the whole number with the denominator of the mixed number. Then, add the numerator of the fraction to the product to get the numerator of the improper fraction. Remember to keep the denominator the same.

2. Given the information above:

Therefore, the answer is 11/3.

Answer: written below

Step-by-step explanation:

1 hour time 40 miles/ hour =1*40=40miles

0.5 *70=0.5*70=35 miles

40+35=75 miles

60 minutes+30 minutes= 90 minutes or 1 1/2hours

Answer:

-5

Step-by-step explanation:

I think it would be -5 because if Celia had -3, that would take away from Janine, so then it would leave the points at 5. But, it says the team had 0 points all together, so wouldn't it be -5?

Answer:

3.25=x

Step-by-step explanation:

start with -5=4x+8

subtract 8 from each side to get:

-13=4x

divide each side by 4 to get your answer:

-3.25=x-

Answer:

[tex]x = - 3.25[/tex]

Step-by-step explanation:

-5 = 4x + 8

-5 - 8 = 4x + 8 - 8

-5 + (-8) = 4x

-13/4 = 4x/4

Therefore, x = -3.25

-5 + (-8) = 4x

Same Change Change (SCC) rule for integers was applied here.