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sleet_krkn [62]
3 years ago
14

Which pair of expressions represents inverse functions?

Mathematics
2 answers:
faust18 [17]3 years ago
6 0

In this question , we have to find, which option represents inverse functions.

Let's check out option b

Let it be y

So we have

y = \frac{x+3}{4x-2}

Switching x and y and solving for y,

x = \frac{y+3}{4y-2}

Performing cross multiplication

4xy -2x = y+3

Combining like terms

y(4x-1) = 3+2x

y = \frac{2x+3}{4x-1}
\\
f^{-1} (x) = \frac{2x+3}{4x-1}

Which is same as of the other function.

So correct option is b .

Afina-wow [57]3 years ago
6 0

Answer:

b

Step-by-step explanation:

Which pair of expressions represents inverse functions?

A.  

and  

B.  

and  

C.  

and  

D.  

and

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Step-by-step explanation: In this problem, we're asked to solve the following equation for <em>p. </em>Let's first switch 14 and 14p around so we have 14p + 14 = 21.

<em />

To solve this equation for <em>p</em>, we must first isolate the term containing <em>p</em> which in this case is 14p.

Since 14 is being added to 14p, we need to subtract 14 from both sides of the equation.

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        -14   -14

On the left side of the equation, the positive 14 and negative 14 cancel each other out and we have 14p. On the right side of the equation, we hav 21 - 14 which gives us 7.

Now we have the equation 14p = 7.

Since <em>p</em> is being multiplied by 14, to get <em>p</em> by itself, we divide both sides of the equation by 14.

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