Answer
Domain: $[-2, 2]$
Range: $[0, 4]$
Work Step by Step
Domain:
$16-x^4\geq0,$
$x^4\leq16,$
$-2\leq x\leq2$
Range:
minimum value when $16-x^4=0, g(\pm2)=0$
maximum value when $16-x^4=16, g(0)=4$
$\therefore 0\leq g(x)\leq4$
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