Question

Determine the point(s) at which the given function $f(x)$ is continuous. $f(x) = \frac{14}{x - 6} - 5x$ Describe the set of $x$-values where the function is continuous, using interval notation. (Use interval notation.)

          Determine the point(s) at which the given function $f(x)$ is continuous.
$f(x) = \frac{14}{x - 6} - 5x$
Describe the set of $x$-values where the function is continuous, using interval notation.
(Use interval notation.)

Determine the point(s) at which the given function f(x) is continuous.
f(x) = (14)/(x - 6) - 5x
Describe the set of x-values where the function is continuous, using interval notation.
(Use interval notation.)

Added by Andr-S J.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert David Nguyen

Step 1

In this case, the denominator is (x-6). Setting the denominator equal to zero, we have: x - 6 = 0 Solving for x, we find: x = 6 So, the function is not continuous at x = 6 because it would result in division by zero. Show more…

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Determine the point(s) at which the given function f(x) is continuous. f(x) = -5x / (x-6) Describe the set of x-values where the function is continuous, using interval notation. (Use interval notation.)