if f(x)=|x|+9 and g(x)= -6, which describes the value of (f + g)(x)?(f + g)(x) greater equal to 3 for all values of x(f + g)(x) less equal to 3 for all values of x(f + g)(x) less equal to 6 for all values of x(f + g)(x) greater equal to 6 for all values of x
Accepted Solution
A:
ANSWER[tex](f+g)(x)[/tex] is greater or equal to [tex]3[/tex] for all values of [tex]x[/tex] EXPLANATIONGiven [tex](f+g)(x)=|x|+9[/tex] and [tex]g(x)=-6[/tex] [tex](f+g)(x)=f(x)+g(x)[/tex] [tex](f+g)(x)=|x|+9+-6[/tex] [tex](f+g)(x)=|x|+3[/tex] If we plug in any value of [tex]x[/tex] in to this function, we get a value that is greater than or equal to 3.See graph in the attachment.Therefore the correct answer is A.