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Solnce55 [7]
3 years ago
12

What is the inverse of f(x)=x^4 + 7 for x>0 where function g is the inverse of function f​

Mathematics
1 answer:
amid [387]3 years ago
4 0

The first answer

cbjsabcakvscds

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Answer: (x^{\frac{2}{7}})(x^{\frac{3}{5}})

Step-by-step explanation:

If you took the nth root of x, it is the same as raising x to the power of 1/n. Therefore:

\sqrt[7]{x^{2} }  = (x^{2} )^{1/7} = (x^{\frac{2}{7}})\\\sqrt[5]{x^{3} }  = (x^{3} )^{1/5} = (x^{\frac{3}{5}})

And multiply:

(x^{\frac{2}{7}})(x^{\frac{3}{5}})

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Step-by-step explanation:

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Because the second derivative of the function at the point is negative, the graph must be concave down at this point. Because the first derivative indicates that the function is also likely to be a maximum or minimum, the point must be a maximum.
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