HELPPP
Consider the function G(x)=x^2 + 7x – 18/x^2+2x-8

Which type of discontinuity does the function have at x = -4?

1.jump
2.mixed
3.infinite
4.removable

Respuesta :

Answer:

it is an infinite discontinuity.

Step-by-step explanation:

Removable type of discontinuity does the function have at x = -4. Option  4 is correct.

What is the definition of removable discontinuity?

If the limit of the function at the place of discontinuity exists and the value of the function exists, but they are not equal to each other, the discontinuity is removable.

We may eliminate the discontinuity by making the function's value equal to the function's limiting value at that time.

The given function is;

G(x)=x²+ 7x – (18/x)²+2x-8

G(-4)=(-4)²+7×(-4)- (18/-4)²+2(-4)-8

G(-4)=16-28-20.25-8-8

G(-4)=16-64.25

G(-4)=- -48.25

The given data on putting the value gives the negative values.

Hence, the removable type of discontinuity does the function have at x = -4

To learn more about removable discontinuity:

https://brainly.com/question/27330208

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