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poizon [28]
3 years ago
15

Functions:

Mathematics
1 answer:
vitfil [10]3 years ago
7 0

Answer:

<h3>Image 1</h3>

1. <u>x = 4 </u>

  • f(4) = (- 3*4 + 1) / 6 = -11/6

2. <u>x = -2/3</u>

  • f(-2/3) = -3*(-2/3) + 10 = 2 + 10 = 12

3. <u>x = -5</u>

  • f(-5) = \sqrt{-(-5)/20} = \sqrt{5/20} = \sqrt{1/4} = 1/2
<h3>Image 2</h3>
  • <em>To work out the inverse, substitute f(x) with x and x with y, then solve for y. The new function is the inverse of the given.</em>

1. <u>f(x) = 5x + 3</u>

  • x = 5y + 3 ⇒ 5y = x - 3 ⇒ y = (x - 3)/5
  • f⁻¹(x) =  (x - 3)/5

2.<u> f(x) = 4/5x</u>

  • x = 4/5y ⇒ y = 5/4x
  • f⁻¹(x) = 5/4x

3. <u>f(x) = (2x + 7)/4</u>

  • x = (2y + 7)/4 ⇒ 2y + 7 = 4x ⇒ 2y = 4x - 7 ⇒ y = 2x - 3.5
  • f⁻¹(x) = 2x - 3.5

4.<u> f(x) = (2x + 7) /(x + 3) </u>= 2 + 1/(x + 3)

  • x = 2 +  1/(y + 3) ⇒ x - 2 = 1/(y + 3) ⇒ y + 3 = 1/(x - 2) ⇒ y = (1 - 3x + 6)/(x - 2) ⇒ y = (7 - 3x)/(x - 2)
  • f⁻¹(x) =  (7 - 3x)/(x - 2)

5.<u> f(x) = </u>\sqrt{x - 4}<u> </u>

  • x = \sqrt{y - 4} ⇒ x² = y - 4 ⇒ y = x² + 4
  • f⁻¹(x) = x² + 4
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Vadim26 [7]

Answer:7=0.5 |x-4| -3

+3                +3

10=0.5 |x-4|

10/0.5=0.5/0.5 |x-4|

20=|x-4|

           ^

-20=x-4   20=x-4

 +4    +4    +4    +4

-16=x       24=x

The answers are -16=x and 24=x

Hope this helps, an if it pleases you put as the brainliest answer

8 0
2 years ago
Read 2 more answers
ITS DUE TODAY<br> GRADES ARE FINAL TODAY PLS HELP ILL GIVE BRAINLIEST<br><br> 0.5a + 8.75 &gt; 13.25
nirvana33 [79]

Answer:

The answer is <u>9</u>

<u>Explanation</u><u>:</u><u> </u>

0.5a+8.75=13.25

We simplify the equation to the form, which is simple to understand

0.5a+8.75=13.25

We move all terms containing a to the left and all other terms to the right.

+ 0.5a=+13.25-8.75

We simplify left and right side of the equation.

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6 0
2 years ago
Guided Practice
S_A_V [24]

Answer:

A.481.25

Step-by-step explanation:

d=rt

Plug in numbers

d=38.5(12.5)

d=481.25

8 0
2 years ago
You are making a snack that includes 5/6 pound of almonds and 7/9 pound of cashews. Which is greater, the weigh of the almonds o
devlian [24]
To compare the answers, you need to have the same denominator. 

We know that, 18 is a common denominator between 6 and 9. 

(5/6)*3/3 => 15/18 (ALMONDS) 
(7/9)*2/2 => 14/18 (CASHEWS) 

As seen, the weight of almonds is 1/18 bigger than the cashews.

Hope I helped :)  
3 0
3 years ago
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There is multiple questions here please help me
Colt1911 [192]
1. a. Unique Solution

2. a. Unique Solution

3. b. No Solution

4. c. Infinitely Many Solutions

5. b. No Solution
4 0
3 years ago
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