find the domain and range of the square root(8+2x-3x^2)
You asked:
Find the domain and range of \(\sqrt{- 3 x^{2} + 2 x + 8}\).
MathBot Answer:
Domain
Set notation:
\(\displaystyle\left\{x \in \mathbb{R}:3 x^{2} - 2 x \leq 8\right\}\)
Interval notation:
\(\displaystyle\left[- \frac{4}{3}, 2\right]\)
Range
Set notation:
\(\displaystyle\left\{y \in \mathbb{R}:0 \le y\leq\frac{5 \sqrt{3}}{3}\right\}\)
Interval notation:
\(\displaystyle\left[0, \frac{5 \sqrt{3}}{3}\right]\)