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Greeley [361]
3 years ago
8

What is the range of the function f(x)=3/4|x|-3

Mathematics
2 answers:
Cloud [144]3 years ago
7 0

Answer:

R=(0,inf)

Step-by-step explanation:

The given function is

f(x)=\frac{3}{4|x|-3}

The graph that belongs to this function is attached.

In the graph, you are able to see that all y-values of the given function are more than zero, that means the range of the function is any real number that is major than zero, that is

R=(0,inf)

Another way to find this range, it's by isolating the x-variable:

y=\frac{3}{4|x|-3}

y(4|x|-3)=3\\4|x|-3=\frac{3}{y} \\4|x|=\frac{3}{y}+3\\x=\frac{1}{4}( \frac{3}{y}+3)

By isolating the x-variable, you can observe that the y-variable is at a position where it cannot be equal to zero, because when that happens the function is undetermined.

Therefore, the range for this function is

R=(0,inf)

Nikitich [7]3 years ago
5 0
The range of the answer is [-3,infinity) and {yly>=-3} 

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