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What value must be defined for to remove the discontinuity of this function at ?

What value must be defined for to remove the discontinuity of this function at ?-example-1
User Luke Irvin
by
4.9k points

2 Answers

2 votes

Answer:

8

Explanation:

I have the plato platform

User Arpan Solanki
by
5.3k points
3 votes

Answer:

Option D. 8

Explanation:

we have


f(x)=(x^(2)-16 )/(x-4)

Remember that


x^(2)-16 =(x+4)(x-4)

substitute


f(x)=((x+4)(x-4))/(x-4)

Remove the discontinuity at x=4

Simplify


f(x)=(x+4)

so

Find the value of f(4)

For x=4


f(4)=(4+4)=8

User Brendan Kidwell
by
4.6k points