Answer:
x=13
Step-by-step explanation:
[tex]g(x)=-4\\[/tex]
Therefore, substituting the value in the equation
[tex]g(x)=\sqrt{x+3} -8\\=>-4=\sqrt{x+3}-8\\ =>-4+8=\sqrt{x+3} \\=>4=\sqrt{x+3}\\[/tex]
Squaring both sides,
[tex]=>4^{2}=\sqrt{(x+3)} ^{2}\\=>16=x+3 \\=> x=16-3\\\\=>x=13[/tex]
