1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
seraphim [82]
3 years ago
13

Find the inverse of the function. f(x) = 6x3 - 8

Mathematics
1 answer:
Papessa [141]3 years ago
7 0
\bf f(x)=y=6x^3-8\qquad inverse\implies 
\begin{array}{lll}
x=&6y^3-8\\
&\uparrow\\
&\textit{switched variables} 
\end{array}
\\\\\\
x+8=6y^3\implies \cfrac{x+8}{6}=y^3\impliedby taking\ \sqrt[3]{\qquad }
\\\\\\
\sqrt[3]{\cfrac{x+8}{6}}=\sqrt[3]{y^3}\implies \sqrt[3]{\cfrac{x+8}{6}}=y\impliedby f^{-1}(x)
You might be interested in
You are planning to make a collage and are gathering materials.for the backing you will use a piece of heavy recycled cardboard
Lunna [17]
1. 4 3/4 feet = 19/4 feet
2 2/5 feet=12/5 feet.
multiplying them together yields 
\frac{19}{4} * \frac{12}{5} =
=  \frac{57}{5} = 11.4 ft^{2}

Part 2: 
11.4 ft^2 - 4 1/2 ft^2=
11.4-4.5=6.9 ft^2 = 69/10 ft^2 left after you subtract the decoration in the middle
Now you're trying to find now many rectangular cutouts (that each are 3/8 ft^2) will fit in the remaining space.
You do that by dividing the remaining space left by 3/8:
\frac{69}{10} / \frac{3}{8} =  \frac{69}{10} * \frac{8}{3} =  \frac{92}{5}
since you have to have a whole number of cutouts, you round 92/5 down to 90/5, which is 18 cutouts
5 0
3 years ago
The earth travels 584 million miles in one year it takes to go around the sun. If there are 365 days in one year what speed does
EleoNora [17]

Answer:

1000miles per hour

Step-by-step explanation:

4 0
3 years ago
Rewrite the following in the form log(c).<br> log(2) + log(2)
kumpel [21]

Answer:

log(4)

Step-by-step explanation:

log(2) + log(2)

log(2×2)

log(4)

3 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPPP
OverLord2011 [107]

Answer:

11

Step-by-step explanation:

1st plug in the given numbers for each variable (the letters)

4 x 6 ÷ 3 + 3 =

Next, use the order of operations to solve the expression.

4 x 6 ÷ 3 + 3 =

24 ÷ 3 + 3 =

8 + 3 = 11

7 0
3 years ago
Read 2 more answers
Plz help me on this quick
Studentka2010 [4]

Answer: The third one

Step-by-step explanation: We can eliminate the first one right off the bat sinc we see that -4 has two outputs. Next, the graph's equation has no slope (x=3) so the input is all the same. Thirdly, the table shows a relationship between x and y and the numbers don't have a pattern that shows more than one output or input for a number. The fourth option are simply coordinates, it doesn't particularly tell us that all the coordinates are related to each other.

7 0
2 years ago
Other questions:
  • Simplify each expression with fractional coefficents. <br> 5/6× - 1/6×
    6·1 answer
  • You roll a six-sided die. How likely is it that you roll a number greater than 6?
    9·2 answers
  • 2/3 + 1/4 what is a simplified expression?
    5·1 answer
  • A coin weighs about 14" pounds. Find the weight of 1000 of the coins. Round your answer to
    13·1 answer
  • Find the vertex, the axis of symmetry, and the y-intercept of the graph.
    12·1 answer
  • Please help asap will give brainliest !!!
    9·1 answer
  • Pls, help due in 30 mins!! it is math.
    12·2 answers
  • Someone lost their wedding ring and found it 16 years later on a carrot in her garden
    6·2 answers
  • Find the ULE in the triangle below
    9·1 answer
  • SOLVE BOTH PROBLEMS PLEASE.<br><br> Solve for b: A=6b<br><br><br> Solve for b : A=1/2bh
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!