Consider that: f(x)=k+6x, if x<=-2 and f(x)=kx+9, if x>=-2 and find the value of k.

sagnuhh

sagnuhh

Answered question

2021-09-10

Consider that
f(x)=k+6x,ifx2andf(x)=kx+9,ifx2
and find the value of k.

Answer & Explanation

krolaniaN

krolaniaN

Skilled2021-09-11Added 86 answers

limx2f(x)=limx2k+6x
=k+6(2)
=k12
limx2+f(x)=limx2+kx+9
=k(2)+9
=2k+9
For the function to be continuous:
limx2f(x)=limx2+f(x)
Thus,
k12=2k+9
3k=21
k=7

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?