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
cricket20 [7]
2 years ago
6

What is the domain (in interval notation) of the following functions?

Mathematics
1 answer:
alexgriva [62]2 years ago
4 0
1.\\g(x)=\frac{3}{5x-4}\\\\D:5x-4\neq0\to5x\neq4\ \ \ /:5\to x\neq\frac{4}{5}\to x\in\mathbb{R}\ \backslash\ \{\frac{4}{5}\}\\\\2.\\h(x)=\frac{\sqrt{x}}{x-5}\\\\D:x\geq0\ \wedge\ x-5\neq0\to x\geq0\ \wedge\ x\neq5\to x\in\left

3.\\f(x)=\frac{\sqrt{x}}{x^2-5x}\\\\D:x\geq0\ \wedge\ x^2-5x\neq0\to x\geq0\ \wedge\ x(x-5)\neq0\\\\\to x\geq0\ \wedge\ x\neq0\ \wedge\ x\neq5\to x\in\mathbb{R^+}\ \backslash\ \{5\}\\\\4.\\g(x)=\frac{\sqrt{x}+5}{x^2-x-20}\\\\D:x\geq0\ \wedge\ x^2-x-20\neq0\to x\geq0\ \wedge\ (x+4)(x-5)\neq0\\\\\to x\geq0\ \wedge\ x\neq-4\ \wedge\ x\neq5\to x\in\left

5.\\h(x)=\frac{3}{x^2+1}\\\\D:x^2+1\neq0\to x^2\neq-1\to x\in\mathbb{R}\\\\6.\\f(x)=\frac{\sqrt{x-2}}{x+1}\\\\D:x-2\geq0\ \wedge\ x+1\neq0\to x\geq2\ \wedge\ x\neq-1\to x\in\left

7.\\g(x)=\frac{x^2}{3x^2-x-2}\\\\D:3x^2-x-2\neq0\to (3x+2)(x-1)\neq0\to x\neq-\frac{2}{3}\ \wedge\ x\neq1\\\\\to x\in\mathbb{R}\ \backslash\ \{-\frac{2}{3};\ 1\}\\\\8.\\h(x)=3(x-4)^2-7\\\\D:x\in\mathbb{R}
You might be interested in
Determine whether the relation shown is a function. Explain how you know.
lutik1710 [3]

Answer:

  It is not a function

Step-by-step explanation:

The plot shows (1, 1) and (1, 3) are both defined by the relation. It does not pass the "vertical line test", which requires the relation be single-valued everywhere.

3 0
3 years ago
Read 2 more answers
What is the simplified form of the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n
liubo4ka [24]
4/5n – 1/5 = 2/5n
Add 1/5 to both sides
4/5n = 2/5n + 1/5
Subtract 2/5n from both sides
2/5n = 1/5
Divide both sides by 2/5

n = 1/2
8 0
3 years ago
Need help with an exam question
stealth61 [152]
Take a pic with phone and it will give u answer
4 0
2 years ago
You need to replace the molding around a floor that is 15 feet long and 23 feet 6 inches wide. The molding sells for $0.50 per f
julsineya [31]
$41.04 you multiply how long and how wide it is together. after that that the answer is 2,070 then divide it by 50 and you get $41.04.

i hope that helps!!
4 0
2 years ago
Hey another one so sorry T^T
konstantin123 [22]

Answer and Step-by-step explanation:

-6 and -10 are the answers.

This is because these numbers are less than -5, so they would work when plugged in for h in the inequality.

<u><em>#teamtrees #PAW (Plant And Water)</em></u>

8 0
2 years ago
Read 2 more answers
Other questions:
  • Help me plz plz i need help
    14·1 answer
  • How do you figure out the quotient of (16x³+24x²)÷2x
    8·1 answer
  • Combine like terms to simplify the expression:<br> 3x + 5 + 4x − 2 + 7x
    14·2 answers
  • Eight students are competing for a blue, red, and yellow ribbon for their agriculture project. How many different ways are there
    13·2 answers
  • Jolly had some burgers. he ate two burgers and then he divided the remaining burger amongst his friends. he has five friends. ev
    7·2 answers
  • I need help on this.​
    10·1 answer
  • in 2010, the price of a laser printer was $1599. in 2018, the price of the same type of printer had dropped to $579. find the pe
    11·2 answers
  • Please help me asap (geometry)
    13·1 answer
  • F(x)=3x^5-x^3+4x-2 HELPPPPPPPPPPP
    6·1 answer
  • How do you do this C=2πr with π=3.14?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!