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
RSB [31]
3 years ago
6

What are the domain range of f(x)= 1/5 power of x

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
3 0

Answer:

Domain: all real numbers

Range: all real numbers

Step-by-step explanation:

I'm assuming you mean the function f(x)=x^{\frac{1}{5}}.  That's usually written

f(x) = x^(1/5) with the ^ meaning "to the power of..." and the fraction exponent in parentheses so as not to be confused with x^1/5 which could mean x to the first power, divided by 5.

Fractional exponents are used to indicate roots.  In this case, x is being raised to the 1/5 power, so this is the fifth root of x, written \sqrt[5]{x}.  The 5 is called the root index.

For odd roots, like this one, the domain is all real numbers--<em>x</em> can be any number at all.  So the domain is all real numbers.

The range is also all real numbers.  Attached is a graph of this function. It might not look like it, but the graph rises to the right to any height.  The larger <em>x</em> gets, the larger the 5th root gets.  A similar thing happens on the left--the smaller <em>x</em> gets, the smaller the 5th root gets.

EDIT: see the comment.  For the function f(x)=(1/5)^x, the domain is all real numbers. The range is positive real numbers.  I'll attach a graph!

You might be interested in
Store A charges $1,200 for repairs with a 6 percent sales tax. Store B charges $1,350 with a 7 percent sales tax. Explain how yo
Lilit [14]

Answer:

The total repair cost for each store is the cost of repairs added to the sales tax. The amount of money saved will be the difference between the two total costs.

6 0
3 years ago
Read 2 more answers
Who knows how to do this ughhh I need help!
suter [353]

Answer:

\large\boxed{\sqrt{56x^{17}}=2x^8\sqrt{14x}}

Step-by-step explanation:

Domain:\ x\geq0\\\\\sqrt{56x^{17}}=\sqrt{4\cdot14\cdot x^{16+1}}\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=\sqrt{4\cdot14\cdot x^{16}\cdot x^1}\\\\\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt4\cdot\sqrt{14}\cdot\sqrt{x^{16}}\cdot\sqrt{x}=2\cdot\sqrt{14}\cdot\sqrt{x^{8\cdot2}}\cdot\sqrt{x}\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=2\cdot\sqrt{14}\cdot\sqrt{(x^8)^2}\cdot\sqrt{x}\\\\\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=2\cdot\sqrt{14}\cdot x^8\cdot\sqrt{x}=2x^8\sqrt{14x}

8 0
2 years ago
Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations. (-4, 9), (0,
Tresset [83]

Answer:

\boxed{y=2x^2+4x-7}

Step-by-step explanation:

Let the quadratic function be

y=ax^2+bx+c


We substitute (-4,9) into the equation to obtain;


9=a(-4)^2+b(-4)+c


\Rightarrow 9=16a-4b+c---(1)


We substitute (0,-7) to obtain;


-7=a(0)^2+b(0)^2+c


\Rightarrow c=-7---(2)


We finally substitute (1,-1) to obtain;


-1=a(1)^2+b(1)^2+c


\Rightarrow -1=a+b+c---(3)


We put equation (2) into equation (1) to get;


9=16a-4b-7


16a-4b=16


\Rightarrow 4a-b=4---(4)


\Rightarrow -1=a+b-7


\Rightarrow a+b=6---(5)


We add equation (4) and (5) to get;

4a+a=6+4



\Rightarrow 5a=10



\Rightarrow a=2


We put a=2 into equation (5) to get;


2+b=6


\Rightarrow b=6-2


\Rightarrow b=4


The reqiured quadratic function is

y=2x^2+4x-7

7 0
2 years ago
The seventh-grade class is building target areas for a PE activity. The bases for the game will be circular in shape. The diamet
Scilla [17]
To calculate the area it is pi*r^2

so since r = 1/2 d

2.5^2 * pi = area
or
19.625
8 0
3 years ago
Standard notation for six and three tenths​
AlexFokin [52]

Answer:

6 3/10 or as a decimal 6.3

6 0
3 years ago
Other questions:
  • Maggie has 20 buttons which is 4 times more than the 5 zippers she has. 20 is 4 times as many as 5. What is the equation to matc
    6·1 answer
  • Please help with this
    13·2 answers
  • Simplify: 14/9k+13/9-2k+2/9+2/9k-6
    15·1 answer
  • Two buses leave a station at the same time and travel in opposite directions. One bus travels 14 kmh slower than the other. If t
    14·1 answer
  • Two triangular faces of a rectangular pyramid each have an area of 7.8 cm2 and the other two faces each have an area of 16.5 cm2
    5·2 answers
  • Three friends are training for a race. Last week, Jacquis ran 3 more miles than Ellen. Miryana ran 1.5 miles as far as Jacquis.
    10·2 answers
  • You have come in contact with the Zombie Virus and are now infected with one strand. The
    6·1 answer
  • Guys please tulongan nyoko please​
    12·2 answers
  • 1. Which of these sequences of transformations would not return a figure to its
    7·2 answers
  • 3) Wages of £4.50 per hour are increased by 8%. Find the new hourly wage. ​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!