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3 years ago

Consider the equations: f(x)= -6x-1 and g(x) = 4x^2 Select the solution for (f+g) (x).

Mathematics

2 answers:

11111nata11111 [884]3 years ago

8 0

$f(x)=-6x-1 \\ g(x)=4x^2 \\ \\ So \ : \\\boxed{ (f+g)(x)=4x^2-6x-1}$

<em>Please mark as best! =)</em>

MAXImum [283]3 years ago

8 0

$(f+g)(x)=f(x)+g(x)\\
(f+g)(x)=-6x-1+4x^2=4x^2-6x-1$

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The matrix is not properly formatted.

However, I'm able to rearrange the question as:

$\left[\begin{array}{ccc}1&1&1|-1\\-2&3&5|3\\3&2&4|1\end{array}\right]$

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Please note that the above may not reflect the original question. However, you should be able to implement my steps in your question.

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This means that the new second row (R2) is derived by:

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$2 * \left[\begin{array}{ccc}1&1&1|-1\end{array}\right] = \left[\begin{array}{ccc}2&2&2|-2\end{array}\right]$

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$\left[\begin{array}{ccc}2&2&2|-2\end{array}\right] + \left[\begin{array}{ccc}-2&3&5|3\end{array}\right]$

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The second operation:

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This means that the new third row (R3) is derived by:

Multiplying the first row (R1) by -3; add this to the third row

The row 1 elements are:

$\left[\begin{array}{ccc}1&1&1|-1\end{array}\right]$

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$-3 * \left[\begin{array}{ccc}1&1&1|-1\end{array}\right] = \left[\begin{array}{ccc}-3&-3&-3|3\end{array}\right]$

Add to row 2 elements are: $\left[\begin{array}{ccc}3&2&4|1\end{array}\right]$

$\left[\begin{array}{ccc}-3&-3&-3|3\end{array}\right] + \left[\begin{array}{ccc}3&2&4|1\end{array}\right]$

$\left[\begin{array}{ccc}0&-1&1|4\end{array}\right]$

Hence, the new matrix is:

$\left[\begin{array}{ccc}1&1&1|-1\\0&5&7|1\\0&-1&1|4\end{array}\right]$

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