Let a,b∈R,(a≠0). If the function f defined as f(x)=⎧⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎨⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎩2x2a ,0≤x<1a ,1≤x<√22b2−4bx3 ,√2≤x<∞ is continuous in the interval [0,∞),,then an ordered pair (a,b) is:

Let a,b∈R,(a≠0). If the function f defined as f(x)=⎧⎪⎪⎪⎪

1.	Let a,b∈R,(a≠0). If the function f defined as f(x)=⎧⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎨⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎩2x2a ,0≤x<1a ,1≤x<√22b2−4bx3 ,√2≤x<∞ is continuous in the interval [0,∞),,then an ordered pair (a,b) is:
Answer» Let $a, b \in R, (a \neq 0) .$ If the function $f$ defined as $f (x) = ⎧ ⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪ ⎨ ⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪ ⎩ \begin{matrix} \frac{2 x^{2}}{a}, 0 \leq x < 1 a, 1 \leq x < \sqrt{2} \frac{2 b^{2} - 4 b}{x^{3}}, \sqrt{2} \leq x < \infty \end{matrix}$ is continuous in the interval $[0, \infty),$ ,then an ordered pair $(a, b)$ is: