if the range of y= 1/f(x) is { y is less than or equal to -1/4 or y is greater tahn 0, yER}, then the range of y= f(x) may be
a. {y is less than or equal to -4,. yER}
b. {y is greater than or equal to -4, yER}
c. {y is greater than or equal to -1/4, yER}
d. {y -4 is less than or equal to y less than or equal to -1/4, yER}
6 years ago
From what i understood is you are trying to ask the range of f(x).
Given y= 1/ f(x), y is less than or equal to -1/4 or y is greater than 0.
The simplest way to find range of f(x) is to input the extreme values of y.
For examples y=-1/4, f(x)= -4
y= - infinity, f(x)=0
y= + infinity, f(x)=0
y= any number between 0 and 1(0,1), f(x) can be range from 1 to +infinity
y = any number greater than 1, f(x) can range from from (0,1)
Hence the answer to your question is b. f(x) is greater than or equal to -4.
6 years ago
Answered By Navpreet S
From what i understood is you are trying to ask the range of f(x).
Given y= 1/ f(x), y is less than or equal to -1/4 or y is greater than 0.
The simplest way to find range of f(x) is to input the extreme values of y.
For examples y=-1/4, f(x)= -4
y= - infinity, f(x)=0
y= + infinity, f(x)=0
y= any number between 0 and 1(0,1), f(x) can be range from 1 to +infinity
y = any number greater than 1, f(x) can range from from (0,1)
Hence the answer to your question is b. f(x) is greater than or equal to -4.