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stepladder [879]
2 years ago
9

For all values of x f(x) = 3x + 2 Find f-¹(-12)

Mathematics
1 answer:
Novosadov [1.4K]2 years ago
8 0

Answer:

-4.67

Step-by-step explanation:

first find f^-1(x)

let f(x)=y

y=3x+2

3x=y-2

x=y-2/3

Therefore f^-1(x)=x-2/3

Now f^-1(-12)=-12-2/3

=-14/3

=-4.67

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If we have 

y = 6x + 1 and x - y = 11, we can take advantage of  y - y = 0 as follows:
                                         Subtract x from both sides of the 2nd equation:
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Now combine 

 y = 6x + 1
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--------------
0 = 5x + 12.  Solving for x, x = -12/5.     Using the equation above, find y:
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                                                                   = 11 - (-12/5)
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Then the solution is (-12.5, 67/5).

                      
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