Let f(x) = 3x+5 and g(x) = x^2. Find g(x)/f(x) and state its domain

Mathematics

2 answers:

lianna [129]3 years ago

7 0

Answer:

1/x-2; domain is the set of all real numbers except 2

Step-by-step explanation:

rodikova [14]3 years ago

3 0

Answer:

All real x except x = -5/3.

Step-by-step explanation:

g(x) / f(x)

= x^2/ (3x + 5)

We can't have a zero denominator so the domain is

All real x except x = -5/3.

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Step-by-step explanation:

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mario62 [17]

Step-by-step explanation:

The distance formula between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the coordinates of the points.

$A(4,\ 0),\ B(2,\ 1),\ C(-1,\ -5)\\\\AB=\sqrt{(2-4)^2+(1-0)^2}=\sqrt{(-2)^2+1^2}=\sqrt{4+1}=\sqrt5\\\\AC=\sqrt{(-1-4)^2+(-5-0)^2}=\sqrt{(-5)^2+(-5)^2}=\sqrt{25+25}=\sqrt{50}\\\\BC=\sqrt{(-1-2)^2+(-5-1)^2}=\sqrt{(-3)^2+(-6)^2}=\sqrt{9+36}=\sqrt{45}$