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3 years ago

15

Find the inverse of f(x)

1 answer:

FinnZ [79.3K]3 years ago

3 0

Answer:

$\huge\boxed{A.\ f^{-1}(x)=\dfrac{x-3}{5}}$

Step-by-step explanation:

$f(x)=5x+3\to y=5x+3\\\\\text{exchange}\ x\ \text{with}\ y\\\\5y+3=x\\\\\text{solve for}\ y\\\\5y+3=x\qquad|\text{subtract 3 from both sides}\\\\5y+3-3=x-3\\\\5y=x-3\qquad|\text{divide both sides by 5}\\\\\dfrac{5\!\!\!\!\diagup y}{5\!\!\!\!\diagup}=\dfrac{x-3}{5}\\\\y=\dfrac{x-3}{5}\to f^{-1}(x)=\dfrac{x-3}{5}$

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Step-by-step explanation:

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Assoli18 [71]

Answer:

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Step-by-step explanation:

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3 years ago

The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations?

Andrew [12]

Answer:

$3x + 13y = 14$

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Step-by-step explanation:

<em>See Attachment for complete question</em>

To determine which of the options has (-4,2) as its solution; we have to test each linear combination until we arrive at an answer;

Given that

$(x,y) = (-4,2)$

Testing Option A

$3x + 13y = 14$

$6x + 11y = -2$

Substitute $x = -4$ and $y = 2$ in $3x + 13y = 14$

$3(-4) + 13(2) = 14$

Open Brackets

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$14 = 14$

Substitute $x = -4$ and $y = 2$ in $6x + 11y = -2$

$6(-4) + 11(2) = -2$

Open Brackets

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$2 = 2$

<em>In both cases, the expression on the right hand side equates to that on the left hand side; </em>

<em>Hence, there's no need to check for other options. </em>

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4 years ago