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nikdorinn [45]
3 years ago
14

For f(x) = 4x + 2 and g(x) = x^2 - 6, find (f+g)(x)

Mathematics
1 answer:
Margaret [11]3 years ago
3 0

Answer:

(f+g)(x) = x^2 + 4x - 4

Step-by-step explanation:

We are given these following functions:

f(x) = 4x + 2

g(x) = x^2 - 6

(f+g)(x)

We add the common terms. Thus:

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

Thus:

(f+g)(x) = x^2 + 4x - 4

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Answer:

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Step-by-step explanation:

A(3-x)=-2x+B\\\\Given\ x=2\\\\Substitute\ the\ value\ of\ x\\\\A(3-2)=-2\times 2+B\\\\A=-4+B\\\\A=B-4\\\\So\ the\ value\ of\ A\ is\ 4\ less\ than\ the\ value\ of\ B.\\\\When\ B=9\Rightarrow A=9-4=5\\\\When\ B=-5\Rightarrow B=-5-4=-9\\\\Hence\ A=5,B=9\\\\or\ A=-9,B=-5

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