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sweet-ann [11.9K]
3 years ago
11

What do I do to solve this

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
8 0
A smoke and a pancake?
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Which pair of expressions represents inverse functions
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Answer: C. \dfrac{x+3}{4x-2} and \dfrac{2x+3}{4x-1}


Step-by-step explanation: if a function f(x) has g(x) as its inverse then it satisfies fog(x)=x and gof(x)=x

C. f(x)=\dfrac{x+3}{4x-2} and g(x)=\dfrac{2x+3}{4x-1}

   fog(x)=f(\dfrac{2x+3}{4x-1})

              =\dfrac{\dfrac{2x+3}{4x-1}+3 }{\dfrac{4(2x+3)}{4x-1}-2 }

               =x

   gof(x)=g(\dfrac{x+3}{4x-2})

              =\dfrac{\dfrac{2(x+3)}{4x-2} +3}{\dfrac{4(x+3)}{4x-2}-1 }

               =x

hence C. is the pair of inverse functions


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Then you have the answer!

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