If f(x) = |x| + 9 and g(x) = –6, which describes the value of (f + g)(x)?

Asked by wiki @ 14/11/2020 in Mathematics viewed by 378 People

(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

Answered by wiki @ 14/11/2020

ANSWER

$(f+g)(x)$ is greater or equal to $3$ for all values of $x$

EXPLANATION

Given $(f+g)(x)=|x|+9$ and $g(x)=-6$

$(f+g)(x)=f(x)+g(x)$

$(f+g)(x)=|x|+9+-6$

$(f+g)(x)=|x|+3$

If we plug in any value of $x$ 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.

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