For the following exercises, determine whether or not the given function f is continuous everywhere....f(x) = 2x + 5/x

For the following exercises, determine whether or not the given function f is continuous everywhere. If it is continuous everywhere it is defined, state for what range it is continuous. If it is discontinuous, state where it is discontinuous.

f(x) = 2x + 5/x

Expert Solution

A function is said to be continuous in an interval if it is defined for every value within that interval.

Consider the following function:

f(x) = 2x + 5/x

Since the denominator cannot be equal to 0 in a rational number.

So the function is not defined at x = 0.

Hence the function is discontinuous at x = 0.

So the function f(x) = 2x + 5/x is continuous for the interval (-∞, 0) ∪ (0, ∞).

The function f(x) = 2x + 5/x is continuous for the interval (-∞, 0) ∪ (0, ∞).

Junaid answered 1 year ago

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Question

For the following exercises, determine whether or not the given function f is continuous everywhere....f(x) = 2x + 5/x

Solutions

Expert Solution

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