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
vivado [14]
3 years ago
11

What is the inverse of function f?

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
4 0

9514 1404 393

Answer:

  C.  f^-1(x) = (∛(x+1))/4

Step-by-step explanation:

The inverse function can be found by solving x = f(y) for y.

  f(y)=x\\\\64y^3-1=x\\\\64y^3=x+1 \qquad\text{add1}\\\\4y=\sqrt[3]{x+1} \qquad\text{cube root}\\\\y=\dfrac{\sqrt[3]{x+1}}{4} \qquad\text{divide by 4}\\\\\boxed{f^{-1}(x)=\dfrac{\sqrt[3]{x+1}}{4}}

You might be interested in
Find the zero of the function /(x) = 5x-3.
Bad White [126]

Answer:

3/5

Step-by-step explanation:

Set it equal to 0

5x-3=0

Then solve for x

5x=3

x=3/5

Check

5(3/5) - 3

3-3

0

4 0
3 years ago
What is the lcm of 8,12,3
kramer

Answer: 24

Step-by-step explanation:

Lowest common multiple means the lowest number that can be divisible by 8,12,3

Looking at this, let's pick 8&3 first

8×3=24

12×3=36

12×8=96

Looking at this value,24 seems to be the lowest,

Therefore the lowest common multiple is 24

5 0
4 years ago
Georgetown and Franklin are 9.7 in apart on a map that has a scale of 1.1 in : 15 mi. How far apart are the real cities?
lina2011 [118]
\bf \begin{array}{ccllll}
inches&miles\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
1.1&15\\
9.7&x
\end{array}\implies \cfrac{1.1}{9.7}=\cfrac{15}{x}\impliedby \textit{solve for "x"}
5 0
3 years ago
Which of the lines below has an undefined slope? A B 6 с LO D 5 O A. Line A O B. Line B O C. Line C O D. Line D​
Anna71 [15]

Answer:

B. Line B

General Formulas and Concepts:

<u>Algebra I</u>

Undefined slopes are when x equals a certain number.

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

From the given choices, B is the correct answer.

A has a slope of 0, so <em>m</em> = 0 and would become a horizontal line.

C has a negative slope, so it is not undefined.

D has a positive slope, so it is not undefined.

B shows a vertical line, and so it has an undefined slope.

8 0
3 years ago
Find the linear approximation of the function g(x) = 3 root 1 + x at a = 0. g(x). Use it to approximate the numbers 3 root 0.95
Virty [35]

Answer:

L(x)=1+\dfrac{1}{3}x

\sqrt[3]{0.95} \approx 0.9833

\sqrt[3]{1.1} \approx 1.0333

Step-by-step explanation:

Given the function: g(x)=\sqrt[3]{1+x}

We are to determine the linear approximation of the function g(x) at a = 0.

Linear Approximating Polynomial,L(x)=f(a)+f'(a)(x-a)

a=0

g(0)=\sqrt[3]{1+0}=1

g'(x)=\frac{1}{3}(1+x)^{-2/3} \\g'(0)=\frac{1}{3}(1+0)^{-2/3}=\frac{1}{3}

Therefore:

L(x)=1+\frac{1}{3}(x-0)\\\\$The linear approximating polynomial of g(x) is:$\\\\L(x)=1+\dfrac{1}{3}x

(b)\sqrt[3]{0.95}= \sqrt[3]{1-0.05}

When x = - 0.05

L(-0.05)=1+\dfrac{1}{3}(-0.05)=0.9833

\sqrt[3]{0.95} \approx 0.9833

(c)

(b)\sqrt[3]{1.1}= \sqrt[3]{1+0.1}

When x = 0.1

L(1.1)=1+\dfrac{1}{3}(0.1)=1.0333

\sqrt[3]{1.1} \approx 1.0333

7 0
3 years ago
Other questions:
  • I am trying to figure out what x is for this quadratic equation, could you help? The exact question on the assignment is
    5·1 answer
  • Four less than 5 times a number is equal to 6 more than 3 times a number
    14·2 answers
  • A markdown that is greater than 99% but less than 100%?
    6·2 answers
  • A technician charges $25 per hour plus $50 for a
    5·1 answer
  • Need asap‼️
    6·1 answer
  • The square below represents one whole.<br> What percent is represented by the shaded area?
    9·1 answer
  • Y = r + 1<br> 4y = 40 + 4
    8·2 answers
  • What is the standard form of the points (-3,4) (2,-6)
    7·1 answer
  • Helppp please, cause I really need it tomorrow​
    11·1 answer
  • The probability of guessing on four true and false questions and getting all four questions correct
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!