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Given s(x) = 3x - 6 and t(x) = 6 - 3x.

Find the simplified formula and domain for v(x)=(s/t)x and w(x)=(t/s)x

User Mikelar
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2 Answers

1 vote

ANSWER

v(x)=-1

Domain: (-∞,2)U(2,+∞)

Step-by-step explanation

We have the given function

s(x) = 3x - 6 and t(x) = 6 - 3x.

We want to find the simplified formula and domain for


v(x) =( (s)/(t) )(x)


v(x) = (s(x))/(t(x))


v(x) = (3x - 6)/(6 - 3x)

This function is defined if and only if


6 - 3x \\e0


x \\e2

Hence the domain is:


x \\e2

We now simplify to obtain;


v(x) = ( - (6 - 3x ))/(6 - 3x) = - 1

User Conor
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8.7k points
1 vote

Answer with step-by-step explanation:

We are given the following two functions:


s(x) = 3x - 6


t(x) = 6 - 3x

We are to find the simplified formula and domain for
v ( x ) = \frac { s ( x ) } { t ( x ) } and
w ( x ) = \frac { t ( x ) } { s ( x ) }.


(3x-6)/(6-3x)=(3(x-2))/(3(2-x))=(x-2)/(2-x)=(x-2)/(-(x-2)))=-1

So the domain for this function is (-∞, +∞) for v(x) = -1.


(6-3x)/(3x-6)=(3(2-x))/(3(x-2))=(2-x)/(x-2)=(2-x)/(-(-x+2))=(2-x)/(-(2-x))=-1

The domain of this function is (-∞, +∞) for w(x)= -1

User Sunday Ikpe
by
8.2k points

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