What is the domain of $f (x) = 3 \sqrt{x + 3} - 1$ $f(x)=3sqrt(x+3)-1$ ?

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Answer 1 · 2016-12-19T11:59:47

Domain: $x \geq - 3$ $x >= -3$

Domain (possible value of x): $x + 3 \geq 0 or x \geq - 3$ $x+3>=0 or x >= -3$ since under root can not be negative number.

Range (possible value of f(x)): $f (x) \geq 0 - 1 or f (x) \geq - 1$ $f(x) >= 0 -1 or f(x) >= -1$

Domain: $x \geq - 3$ $x >= -3$ , Range: $f (x) \geq - 1$ $f(x) >= -1$ graph{3(x+3)^0.5 -1 [-20, 20, -10, 10]} [Ans]

What is the domain of f(x)=3√x+3−1f(x)=3sqrt(x+3)-1?