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vredina [299]
3 years ago
5

Find the inverse f(x) = 3х^2 - |

Mathematics
1 answer:
forsale [732]3 years ago
5 0

Answer:

f^{-1}=\frac{\sqrt{3(x+1)} }{3}

Step-by-step explanation:

f(x) = 3x^{2} - |

Let y= 3x^{2}-1

Both side -1

y+1=3x^{2}  

x^{2}=    \frac{\sqrt{3(y+1)} }{3}

x=  \frac{\sqrt{3(y+1)} }{3}

f^{-1}=\frac{\sqrt{3(x+1)} }{3}

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4 years ago
A slide 4.3 m long makes an angle of 31 degrees with the ground how high is the top of the slide above the ground
tia_tia [17]
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4 0
3 years ago
How do you explain this function?
Zanzabum

Hello from MrBillDoesMath!

Answer:

For  0 <= x < =40 the function is that of the straight line 15x which has slope 15. Note that at x = 40 the value of the function is 15(4) =600

For x > 40 , the function is another straight line but with slope 20. This line is steeper than the 15x line but for x near, but slightly greater than  40, the value is close to 600 + 20 (40-40)  or 600 + 20(40-40) = 600.  This is the same value as the first line, 15x, at x = 40.

In summary, the graph of p(x), from   0 <= x <=40, is a line of slope 15 and for x>40 is a line of slope 20.  p(x) has a removable discontinuity at x = 40 because  p(x) approaches 600 as x approaches 40, regardless of the method of approach (i.e. whether x  approaches 40 from values less than 40 or from values greater than 40)




Thank you,

MrB


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