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3 years ago

given the following linear function sketch the graph of the function and find the domain and range f(x) =2/7x-2

Mathematics

2 answers:

Semenov [28]3 years ago

7 0

Hope this helps. Domain and range are the same for this question.

otez555 [7]3 years ago

6 0

Answer: Domain of the function= $(-\infty 2/7)\cup(2/7,\infty)$ , Range of the function = $(-\infty,0)\cup (0,\infty)$

Step-by-step explanation:

Since, The given function, $f(x)=\frac{2}{7x-2}$

Which is a rational function.

For finding the domain, denominator ≠ 0

Therefore, 7x-2 ≠ 0 ⇒ 7x ≠ 2 ⇒ x ≠2/7

Thus domain of the function = $(-\infty 2/7)\cup(2/7,\infty)$

since, $y=\frac{2}{7x-2}$

⇒y(7x-2)=2⇒7xy-2y=2⇒ $x=\frac{2+2y}{7y}$

Thus, we know that For finding the range, 7y≠0⇒y≠0

Thus, range of the function = $(-\infty,0)\cup (0,\infty)$

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