Question

Given g(x)=^3√x+6, on what interval is the function negative?

Answer 1

The interval which the function is negative is (-∞, -6)

How to determine the interval?

The equation of the function is given as:

$g(x) = \sqrt[3]{x + 6}$

When the function is negative.

It means that g(x) is less than 0

i.e. g(x) < 0

So, we have:

$\sqrt[3]{x + 6} < 0$

Take the cube of both sides

x + 6 < 0

Subtract 6 from both sides

x < -6

The above represents a value from negative infinity to -6

i.e.  (-∞, -6)

Hence, the interval which the function is negative is (-∞, -6)

Read more about functions at:

brainly.com/question/10197594

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