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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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Are the graphs y=4x-4 and 24x-4y=96 parallel
nydimaria [60]
k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\k\ ||\ l\iff m_1=m_2\\\\k:y=4x-4;\ l:24x-4y=96\\\\24x-4y=96\ \ \ \ |subtract\ 24x\ from\ both\ sides\\-4y=-24x+96\ \ \ \ |divide\ both\ sides\ by\ (-4)\\y=6x-24\\\\m_1=4;\ m_2=6\Rightarrow m_1\neq m_2

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