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yanalaym [24]
3 years ago
12

For f(x)=3x+1 and g(x)=(x^2)-6, find (f+g)(x).

Mathematics
2 answers:
Anon25 [30]3 years ago
3 0

f(x)=3x+1;\ g(x)=x^2-6\\\\(f+g)(x)=(3x+1)+(x^266)=3x+1+x^2-6=x^2+3x+(1-6)\\\\=\boxed{x^2+3x-5}

marishachu [46]3 years ago
3 0

Answer:   (f+g)(x)=x^2+3x-5.

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

f(x)=3x+1,\\\\g(x)=x^2-6.

We are to find the value of (f + g)(x).

We know that

for any two functions p(x) and q(x),

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

Therefore, we get

(f+g)(x)\\\\=f(x)+g(x)\\\\=(3x+1)+(x^2-6)\\\\=3x+1+x^2-6\\\\=x^2+3x-5.

Thus, (f+g)(x)=x^2+3x-5.

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