I need Help

[pakfame]

Please see the attached Document in ZIP file and help me to solve the questions

 

[stapel]

I'm sorry, but nobody with any knowledge of basic Internet security is going to open a "zip" file from an unknown source. Please make at least the minimal effort of posting your question here so that the helpers can actually see it. Thank you.

 

[pakfame]

Here are Questions

Help need for the following:

1- Solve the inequality |5X+11| > 7 and write the solution set in interval form.

2- Find the equation of a circle whose diameter has endpoints (4, -1) and (-6, 7).

3- Evaluate the following limit:

4- if and , then find the composite functions f o g(x).

 

[HallsofIvy]

Help need for the following:

1- Solve the inequality |5X+11| > 7 and write the solution set in interval form.

either 5x+ 11 is positive, in which case 5x+ 11< 7, or 5x +11 is negative, in which case -(5x+ 11)> 7.
After solving 5x+11< 7 and -(5x+ 11)> 7 for x, make sure that 5x+ 11 is positive or negative depending upon which case gave you that solution.

2- Find the equation of a circle whose diameter has endpoints (4, -1) and (-6, 7).

The equation of a circle with center at (a, b) and radius R is \(\displaystyle (x- a)^2+ (y- b)^2= R^2\) (I'll bet you knew that). And you probably also know that the center of a circle is the midpoint of every diameter.

3- Evaluate the following limit: View attachment 3442

It helps to know that \(\displaystyle 1- x^3= (1- x)(1+ x+ x^2)\). Get common denominators and combine the fractions. If you can't cance 1- x from both numerator and denomiator, this limit will not exist.

4- if View attachment 3443 and View attachment 3444, then find the composite functions f o g(x).

The definition of f o g(x) is f(g(x)). That is, you replace each "x" in f with g:
\(\displaystyle f o g(x)= \frac{x^4+ x^2+ 1}{x^4+ x^2- 1+ 2}\)

 

[Deleted member 4993]

Help need for the following:

1- Solve the inequality |5X+11| > 7 and write the solution set in interval form.

2- Find the equation of a circle whose diameter has endpoints (4, -1) and (-6, 7).

3- Evaluate the following limit: View attachment 3442

4- if View attachment 3443 and View attachment 3444, then find the composite functions f o g(x).

Please share your work with us .

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/th...217#post322217