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Answer: x=-3-[tex]\sqrt{7}[/tex] or x=-3+[tex]\sqrt{7}[/tex]
Step-by-step explanation:
f(x)=x+1. g(x)=x+5
(f * g)(x)=
f(x)*g(x)=
(x+1)(x+5)=
x^2+5x+x+5=x^2+6x+5
x^2+6x+5=3
x^2+6x+9=7 ==> Add 4 on both sides of the equation
(x+3)^2=7
x+3=[tex]\sqrt{7}[/tex]
x=-3+[tex]\sqrt{7}[/tex]
x+3=-[tex]\sqrt{7}[/tex]
x=-3-[tex]\sqrt{7}[/tex]