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pychu [463]
2 years ago
11

Find the inverse of the following functions f(x)=6-3x g(x)=x+2

Mathematics
2 answers:
astraxan [27]2 years ago
4 0
      f(x) = -3x + 6
          y = -3x + 6
          x = -3y + 6
     x - 6 = -3y
       -3       -3
⁻¹/₃x + 2 = y
⁻¹/₃x + 2 = f⁻¹(x)

 g(x) = x + 2
     y = x + 2
     x = y + 2
x - 2 = y
x - 2 = g⁻¹(x)
Volgvan2 years ago
4 0
Problem 1:

y=f\left( x \right) ,\\ \\ y=6-3x\\ \\ 3x=6-y\\ \\ x=\frac { 6 }{ 3 } -\frac { y }{ 3 } \\ \\ x=2-\frac { 1 }{ 3 } y\\ \\ \therefore \quad { f }^{ -1 }\left( x \right) =2-\frac { 1 }{ 3 } x

Problem 2:

y=g\left( x \right) ,\\ \\ y=x+2\\ \\ x=y-2\\ \\ \therefore \quad { g }^{ -1 }\left( x \right) =x-2

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1 is the GCF of 55 and 24

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3 years ago
In order to play in chess tournaments at the Marshall Club, Malik pays a fee to become a member. In addition, he pays a set rate
Keith_Richards [23]

Answer:

p = 22.50 + 15t

Step-by-step explanation:

For Malik :

Membership fee = m

Rate per tournament = t

After 4 tournaments :

m + 4t = 85 - - - (1)

After 7 tournaments :

m + 7t = 130 - - - (2)

Subtract 2 from 1

4t - 7t = 85 - 130

-3t = - 45

t = 45 / 3

t = 15

Put, t = 15 in (1)

m + 4(15) = 85

m + 60 = 85

m = 85 - 60

m = 25

Massai pays 10% less membership fee than Malik

Hence, Massai's membership fee:

(100 - 10)% * 25

0.9 * 25 = $22.50

Total price, p, Massai will pay to compete in t tournaments ;

Total price = membership fee + (rate per tournament * number of tournaments)

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3 0
2 years ago
Consecutive integers are integers that
gogolik [260]

Answer:   The three numbers are 10, 11, and 12.

10+11+12 = 33

=========================================================

Work Shown:

  • x = smallest number
  • x+1 = middle number
  • x+2 = largest number

Each is a positive whole number

Add them up and set the result equal to 33. Solve for x.

(x) + (x+1) + (x+2) = 33

3x+3 = 33

3x+3-3 = 33-3 .... subtract 3 from both sides

3x = 30

3x/3 = 30/3 ..... divide both sides by 3

x = 10

x+1 = 10+1 = 11

x+2 = 10+2 = 12

Note how 10+11+12 = 33 to help confirm our answer.

6 0
3 years ago
Find the volume. Please
Lelu [443]

Answer:

Step-by-step explanation:

the figure is divided into a cube and a cuboid

for the cube,

volume = a^3

= 6^3 = 216 cm^3

for the cuboid,

volume = l × b × h

= 13 × 6 × 6

=468 cm^3

so total volume = volume of the cube + volume of the cuboid

= 216 + 468

=684 cm^3

hope this helps

plz mark it as brainliest!!!!!!!!

6 0
2 years ago
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Ksenya-84 [330]

Answer:

a) 10,61

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2/7 = 0,28571428...

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3 0
2 years ago
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