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3 years ago

Y=x-8/x^2+4x-5 find any points of discontinuity for the rational function

Mathematics

1 answer:

Art [367]3 years ago

3 0

Answer:

x=-5, x=1

Step-by-step explanation:

y=x-8/x^2+4x-5

$y=\frac{x-8}{x^2+4x-5}$

When denominator becomes 0 in a rational function then there will be a break in the graph

To find any points of discontinuity for the rational function , we set the denominator =0 and solve for x

x^2 + 4x -5 =0

Now we factor x^2 +4x -5

product is -5 and sum = 4

5 * (-1) = -5

5 +(-1) = 4

(x+5)(x-1) =0

set each factor =0 and solve for x

x+5=0 , so x= -5

x-1=0 , so x= 1

x=-5, x=1 are the points of discontinuity for the rational function

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Answer:

see explanation

Step-by-step explanation:

(a)

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(b)

Given

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8 0

3 years ago

Express 10 2/3 in simplest radical form

worty [1.4K]

<h2>Hey there! </h2><h2> $\bold{Formula: \dfrac{a \times c + b}{c}}$ </h2><h2> $\bold{10\dfrac{2}{3}=}\bold{\dfrac{10\times3+2}{3}}$ </h2><h2> $\bold{Solving\ for\ your\ numerator\downarrow}}\\\\\bold{10\times3+2=?}\\ \bold{10\times3=30}\\ \bold{30+2=32}$ </h2><h2> $\bold{b=32\leftarrow numerator}\\\\\\\\ \bold{c =3\leftarrow denominator}$ </h2><h2> $\boxed{\boxed{\bold{Answer: \dfrac{32}{3}}}}\huge\checkmark$ </h2><h2>Good luck on your assignment and enjoy your day!</h2><h2>~ $\frak{LoveYourselfFirst:)}$ </h2><h2 /><h2 />