3 years ago

State the domain and range for the function. f(x)=3cot(2x)

Mathematics

1 answer:

kozerog [31]3 years ago

7 0

Please see attached image for the answer
Range: all real numbers

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Answer: Option C

$y=5$ , $x=10$

Step-by-step explanation:

If the lines m and n are parallel then the large triangle and the small triangle are similar triangles, because they have equal angles.

By definition for similar triangles it is satisfied that if they have sides of length a, b, c and a ', b' and c 'then:

$\frac{a}{a'}=\frac{b}{b'} =\frac{c}{c'}$

In this case

$a = 12\\a' = 4\\c = 15\\c' = y$

So:

$\frac{12}{4}=\frac{15}{y}$

$3=\frac{15}{y}$

$y=\frac{15}{3}$

$y=5$

Therefore

if $x+y=15$ and $y=5$ then $x =10$

Finally

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