Give the domain of the following functions. Give your answer in interval notation. a) f(x)= 5x-2/x^2-5x+6 and b) square root of 5-2x

Answers

Answer 1

Answer: $a) \ \ \ f(x)= \frac{\big{5x-2}}{\big{x^2-5x+6}} \ \ \ \ \ \ \ \ \ D:\ \big{x^2-5x+6} \neq 0\n\nx^2-2x-3x+6 \neq 0\ \ \ \Leftrightarrow\ \ \ x(x-2)-3(x-2) \neq 0\n\n\Leftrightarrow\ \ \ (x-2)(x-3) \neq 0\ \ \ \Leftrightarrow\ \ \ x \neq 2\ \ \ and\ \ \ x \neq 3\n\nD=R-\{2;\ 3\}\n\nb) \ \ \ g(x)=√(5-2x) \ \ \ \ \ \ D:\ 5-2x \geq 0\ \ \ \Leftrightarrow\ \ \ -2x \geq -5\n\n\ \ \ \Leftrightarrow\ \ \ x \leq 2.5\ \ \ \Rightarrow\ \ \ D=(-\infty;2.5>$

Related Questions

Medical researchers have determined that for exercise to be beneficial, a person’s desirable heart rate, R, in beats per minute, can be approximated by the formulasR=143-0.65a for womenR=165-0.75a for men,where a represents the person’s age. What would the desirable heart rate be for a 46 year old woman? a. 113 beats per minuteb. 172.9 beats per minutec. 143.7 beats per minuted. 63 beats per minute
What value is 4 to the second power
Please help 6x^2/7y*21yz/12xy
Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form?2x3 + 18x2 − 18x − 162 = 2(x + k)(x − k)(x + 9) k= ____________
WHAT IS THE GREEN BLANK???PLEASE HELP ME ASAPPPP

What is 2/3 times 6 equal?

Answers

Answer:

Step-by-step explanation:

$(2)/(3)$ x $(6)/(1)$ = $(12)/(3\n)$ simplified is 4

Which information is needed to show that a parallelogram is a rectangle?

Answers

If you know for a fact that it's a parallelogram, then you only
need to show that any one angle is a right angle (90 degrees),
and that will prove that it's a rectangle.

If a parallelogram has right angles (angles with measures of 90 degrees) for all its angles, it is a rectangle.

Round 222,977 to the nearest hundred

Answers

The place the value of 9 is in is the hundreds place. So, any number greater than 5 is rounded up. 7 is greater than 5, so the 9 becomes a 0 and the next number is increased by 1. All the values after are marked as a 0. The answer is 223,000.

223,000.There is a rounding rap to help :)

Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. The area of the smaller lawn is 144 square feet. In the equation(x – 8)2 = 144, x represents the side measure of the original lawn.

What were the dimensions of the original lawn?

4 feet by 4 feet
8 + feet by 8 +
8 feet by 8 +
20 feet by 20 feet

Answers

The answer is 20 feet by 20 feet. Let's solve the equation: (x – 8)^2 = 144. (x - 8)^2 = 12^2. Since a^2 = b^2 is the same as a = b, then (x - 8)^2 = 12^2 can be simplified to: x - 8 = 12. Now, solve for x. x = 8 + 12. x = 20. Therefore, the dimensions of the original lawn were 20 feet by 20 feet.

Answer:

Step-by-step explanation:

20x20

Rewrite 163/4 in as many different ways as you can

Answers

There's an infinite number of ways we can rewrite 16 3/4, some of them being:

16 3/4
16 6/8
16 12/16
16 24/32
16.75
67/4
335/20
670/40
etc.

I hope it will help you ;)

$16 (3)/(4) =16.75=16 (12)/(16)$
thats all I can think of.

What multiplies to be -42 and adds to be 19?

Answers

21 and -2
21x-2=-42
21+-2=19

Other Questions

Solve 9x2 + 3x − 2 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used.

What do I do here? I forget. lol.Of the Comic books available at the comic book store, 42% are Marvel Comics, 23% are Special Edition Comics and 12% are Marvel and Special Edition Comics. A comic book will be selected randomly from the comic book store. What is the probability the comic will not be a Marvel Comic? What is the probability the selected comic will be a Special Edition given that it is a Marvel Comic? A.0.58 and 0.29 B. 0.58 and 0.23 C. 0.42 and 0.12 D. 0.23 and 0.42

783 rounded to the nearest hundred is

The slopes of perpendicular lines _____.a. sum to 0 b. are equal c. are negative reciprocals d. sum to 1