Answer
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Work Step by Step
$f(x)=x^2-1,$ $g(x)=3x+3$
a.$x^2-1=0, x=\pm 1$
b. $3x+3=0, 3x=-3, x=-1$
c.$x^2-1=3x+3,$
$x^2-3x-4=0,$
$x^2+x-4x-4=0,$
$x(x+1)-4(x+1)=0,$
$(x-4)(x+1)=0,$
$x=4$ or $x=-1$
d. $x^2-1\gt 0,$
$x^2\gt 1,$
$x\gt 1$ or $x\lt -1$
e. $3x+3\leq 0,$
$3x\leq -3,$
$x\leq -1$
f. $x^2-1\gt 3x+3,$
$x^2-3x-4\gt 0,$
$(x-4)(x+1)\gt 0,$
$x\gt 4$ or $x\lt -1$
g. $x^2-1\geq 1,$
$x^2\geq 2,$
$x\geq \pm 2$
