If , which inequality can be used to find the domain of f(x)?


Asked by wiki @ in Mathematics viewed by 316 People

Answered by wiki @


we have

f(x)=\sqrt{\frac{x}{2}-10}+3

we know that

The domain is determined of what's under the square root sign.

so

the term (\frac{x}{2}-10) must be greater than or equal to zero

\frac{x}{2}-10 \geq 0

Solve for x

Adds 10 both sides

\frac{x}{2}-10+10 \geq 0+10

\frac{x}{2} \geq 10

Multiply by 2 both sides

x \geq 20

the solution is the interval---------> [20,∞)

therefore

the answer is

The inequality that can be used to find the domain of f(x) is

\frac{x}{2}-10 \geq 0

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