Algebra Answers

Which of the following coordinates of points belong to the solution set of the inequality y<2x²+5×-1 ??

A. (-3,2)
B. (-2,9)
C. (1,6)
D. (3,1)

What happens if we graph both f and f^{-1} on the same set of axes, using the x-axis for the input to both f and f^{-1} ?

[Suggestion: go to www.desmos.com/calculator and type y=x^3 {-2 < x < 2}, y=x^{1/3} {–2 < x < 2}, and y = x {–2 < x < 2}, and describe the relationship between the three curves.] Then post your own example discussing the difficulty of graph both f and f^{-1} on the same set of axes.

Suppose f:R \rightarrow R is a function from the set of real numbers to the same set with f(x)=x+1. We write f^{2} to represent f \circ f and f^{n+1}=f^n \circ f. Is it true that f^2 \circ f = f \circ f^2? Why? Is the set {g:R \rightarrow R l g \circ f=f \circ g} infinite? Why?

What can be said about the domain of the function f \circ g where f(y)= \frac{4}{y-2} and g(x)= \frac{5}{3x-1} ? Express it in terms of a union of intervals of real numbers. Go to www.desmos.com/calculator and obtain the graph of f , g , and f \circ g .

Find the inverse of the function f(x)=4+ \sqrt{x-2} .
State the domains and ranges of both the function and the inverse function in terms of intervals of real numbers.

Go to www.desmos.com/calculator and obtain the graph of f , its inverse, and g(x)=x in the same system of axes. About what pair (a, a) are (11, 7) and (7, 11) reflected about?

Find all the 5th roots of (5-1)

Find all the roots of 1+z^6=0, and show them in an argnad diagram

Any linear equation in 3 variables has a unique solution

In a geometric sequence, the second term exceeds the fourth term by 1/2 .
The third term exceeds the fifth term by 1/8. Find the sum to infinity.

if the temperature on a particularday is 24degree celcius and the temperature dropsdrops degree Celsius for every one hour,then find how cold or hot will it be in the next 8 hours

an oil and gas company offerrs a position to amirul with the starting salary of rm54000 per year and annual increment of 15% . find his salary of fifth year. show that his total salary from first year to the nth years is RM360000(1.15'n -1).

The scale of a map is inches represents 3 miles. How much does 1 inch represent?