Question
Asked Oct 24, 2019
3 views
6x318x2 10x +30
f(x)
x 3
-3 and by the formula
when x
f(x) 3x2
5x a
when -3 x
What value must be chosen for a in order to make this
function continuous at -3?
а%3
help_outline

Image Transcriptionclose

6x318x2 10x +30 f(x) x 3 -3 and by the formula when x f(x) 3x2 5x a when -3 x What value must be chosen for a in order to make this function continuous at -3? а%3

fullscreen
check_circle

Expert Answer

Step 1

To determine the value of a.

Step 2

Given:

6x318.x210x +20
f(x)
when x -3
x 10
f(x)-3x5x + a when x 2-3
help_outline

Image Transcriptionclose

6x318.x210x +20 f(x) when x -3 x 10 f(x)-3x5x + a when x 2-3

fullscreen
Step 3

Concept Used:

A function f(x) is continuous at the point x =a if the func...

f(a) lim f(x) lim f(x)
xa
help_outline

Image Transcriptionclose

f(a) lim f(x) lim f(x) xa

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Continuity