Question

What’s the answer???(SOMEONE PLEASE HELP) WILL MARK BRAINLIEST!!!

Answer 1

Domain of a Function is a Set of Values under which the Function is defined or a Set of Values which satisfy the respective Function.

The Given Function is : f(x) = $\frac{3}{\sqrt{2x + 10}}$

The Condition for Square Root to be defined is any Expression under it should be Greater than or Equal to Zero.

When Function is a Fraction, it Cannot be defined when the denominator becomes zero. Because when the denominator is zero, the fraction tends to ∞ (because anything divided by zero tends to ∞)

According to Above Conditions Described above, The Given Function is Definable only when the Expression which is under the Square Root is Greater than Zero.

⇒ 2x + 10 > 0

⇒ 2x > -10

⇒ x > -5

In Set Builder Form it is Expressed as { x | x > -5 }