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Sphinxa [80]
3 years ago
15

If f(x)=x2-2x and g(x)=6x=4, for which value of x does (f+g)(x)=0

Mathematics
2 answers:
zhenek [66]3 years ago
7 0
X = -2
hope it helps (: 
diamong [38]3 years ago
3 0

Answer:  The required value of x is - 2.

Step-by-step explanation:  We are given the following two functions :

f(x)=x^2-2x,~~~~~g(x)=6x+4.

We are to find the value of x for which (f + g)(x) = 0.

We know that for any two functions p(x) and q(x), the following property holds true :

(p+q)(x)=p(x)+q(x).

We have

(f+g)(x)=0\\\\\Rightarrow f(x)+g(x)=0\\\\\Rightarrow x^2-2x+6x+4=0\\\\\Rightarrow x^2+4x+4=0\\\\\Rightarrow (x+2)^2=0\\\\\Rightarrow x+2=0,~~~x+2=0\\\\\Rightarrow x=-2,~-2.

Thus, the required value of x is - 2.

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