Which statement is true about the discontinuities of the function f(x)? F (x) = StartFraction x minus 5 Over 3 x squared minus 17 x minus 28 EndFraction

Question:

Which statement is true about the discontinuities of the function

A)There are holes at x = 7 and .

B)There are asymptotes at x = 7 and .

C)There are asymptotes at x = –7 and .

D)There are holes at (–7, 0) and .

B)There are asymptotes at x = 7 and

Step-by-step explanation:

Given:

Required:

Find the true statement

We'll first factorize the denominator.

Make x subject of the formula in (3x+4) and (x-7):

3x + 4 =

3x = -4

Divide both sides by 3:

x - 7

x = 7

Now check for the limit when and (x = 7)

lim f(x) when   = ±∞

lim f(x) when (x=7) = ±∞

Sinve they both make the denominator tend to zero, they are asymptotes

Therefore, there are asymptotes at and x=7

Option B is correct

i think 5 miles per hour

step-by-step explanation:

a precentage of 6th graders. the population is all 6th graders. let me know if i'm wrong, i hope this ! : )

step-by-step explanation: