Login or Sign Up

Ask a New Question

Find the points of discontinuity.

f(x) = { 16/x^2 if x ≥ 2
{ 3x - 2 if x < 2

Since both parts of f are continuous in their domains, just check to see whether they meet at x=2

16/x^2 = 16/4 = 4 when x=2
3x-2 -> 6-2 = 4 when x->2

Looks continuous to me.

Similar Questions

Determine the points of discontinuity for the following rational functiony=x+5/x^2+7x+10 Select all that apply A x=0 B y=0 C

Top answer: The points of discontinuity occur when the denominator of the function, x^2+7x+10, equals zero. This Read more.
Which of the following functions f has a removable discontinuity at a? If the discontinuity is removable, find a function g that

Top answer: I don't understand what they are asking! If anyone could explain that, that would be a great help! Read more.
Supposeg(x) = { 1 / (x - 2) if x < 1 2x - 4 if x >/= 1 The best description concerning the continuity of g(x) is that the

Top answer: notice that as x--> 1 g(1) --> 1/(1-2) = -1 but g(1) from the second function is 2(1) - 4 = -2 so Read more.
Supposeg(x)={1/(x-2) if x<1 {2x-3 if x≥1 The best description concerning the continuity of g(x) is that the function: is

Top answer: how about you giving us your ideas on the rest of these? They're all quite similar, and none is Read more.
Supposeg(x)={1/(x-2) if x<1 {2x-4 if x≥1 The best description concerning the continuity of g(x) is that the function: is

Top answer: To determine the continuity of g(x), we need to check if the function is continuous at every point Read more.
What does this function show at x = 5? f(x)=x^2−25/x−5A) removable discontinuity B) jump discontinuity C) infinite

Top answer: at x=5, f(x) = 0/0, or undefined. At any other value, though, f(x) = (x-5)(x+5)/(x-5) = x+5 So, f(x) Read more.
Find all points of discontinuityf(x) = [x^2 + 5x - 2]/ [x^2 - 9]

Top answer: discontinuities occur when the denominator is zero: x = 3 or -3 go to some online grapher and it Read more.
find the points of discontinuity of the given function f(x) =x+3/|x2+3x|

Top answer: the denominator is zero at x = 0 and at x = -3 Read more.
Supposeg(x)={x^2+2x+1/x+1 if x<1 {2x if x≥1 The best description concerning the continuity of g(x) is that the function: is

Top answer: Was removable correct? Read more.
Find any points of discontinuity for the rational function.y=x-2/ x^2-4x+3

Top answer: To find points of discontinuity for a rational function, we need to find the values of x where the Read more.