subject
Mathematics, 15.07.2019 18:40 jreasley3783

Which of the following statements are true? a. if the functions $f(x)$ and $g(x)$ have inverses, and $h = f \circ g,$ then the function $h$ has an inverse, and $h^{-1} = f^{-1} \circ g^{-1}.$ b. if $f(x)$ and $g(x)$ have inverses, then the function defined by $h(x) = f(x) + g(x)$ has an inverse. c. if $f(f(x)) = x$ for all $x,$ then the function $f(x)$ has an inverse. d. if $f(f(f( = x$ for all $x,$ then the function $f(x)$ has an inverse. e. if the function $f(x)$ has an inverse, and $f(x) \neq 0$ for all $x,$ then the function defined by $g(x) = \frac{1}{f(x)}$ has an inverse. f. if the function $f(x)$ has an inverse, then the function defined by $g(x) = [f(x)]^2$ has an inverse. g. if the function $f(x)$ has an inverse, and $f(x) \ge 0$ for all $x,$ then the function defined by $g(x) = \sqrt{f(x)}$ has an inverse. h. if $f(x) < f(y)$ for all $x > y,$ then the function $f(x)$ has an inverse. enter the letters of the true statements, separate d by commas. for example, if you think statements e and h are true, enter "e, h" without the quotation marks.

ansver
Answers: 1

Another question on Mathematics

question
Mathematics, 21.06.2019 12:30
An arrow is shot vertically upward at a rate of 180ft/s. use the projectile formula h=−16t2+v0t to determine at what time(s), in seconds, the arrow is at a height of 420ft. round your answer(s) to the nearest tenth of a second.
Answers: 1
question
Mathematics, 21.06.2019 14:20
Triangle abc is reflected over the line y=x triangle abc has points (-6,-,-1) and (-5,-6) what is the c coordinate
Answers: 1
question
Mathematics, 21.06.2019 18:30
Players on the school soccer team are selling candles to raise money for an upcoming trip. each player has 24 candles to sell. if a player sells 4 candles a profit of$30 is made. if he sells 12 candles a profit of $70 is made. determine an equation to model his situation?
Answers: 3
question
Mathematics, 21.06.2019 20:30
Max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.
Answers: 2
You know the right answer?
Which of the following statements are true? a. if the functions $f(x)$ and $g(x)$ have inverses, an...
Questions
question
Mathematics, 22.09.2019 18:50