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Popular >

inverse of f(x)=((x^{1/7}+5)^3)/7

Solution

inverse

f (x) = \frac{( x ^{\frac{1}{7}} + 5 ) ^{3}}{7}

Solution

49 \cdot 7^{\frac{1}{3}} x^{\frac{7}{3}} - 1715 x^{2} + 3675 \cdot 7^{\frac{2}{3}} x^{\frac{5}{3}} - 30625 \cdot 7^{\frac{1}{3}} x^{\frac{4}{3}} + 153125 x - 65625 \cdot 7^{\frac{2}{3}} x^{\frac{2}{3}} + 109375 \cdot 7^{\frac{1}{3}} x^{\frac{1}{3}} - 78125

Solution steps

y = \frac{( x ^{\frac{1}{7}} + 5 ) ^{3}}{7}

Replace

x

with

y

x = \frac{( y ^{\frac{1}{7}} + 5 ) ^{3}}{7}

Solve for

y, x = \frac{( y ^{\frac{1}{7}} + 5 ) ^{3}}{7}

49 \cdot 7^{\frac{1}{3}} x^{\frac{7}{3}} - 1715 x^{2} + 3675 \cdot 7^{\frac{2}{3}} x^{\frac{5}{3}} - 30625 \cdot 7^{\frac{1}{3}} x^{\frac{4}{3}} + 153125 x - 65625 \cdot 7^{\frac{2}{3}} x^{\frac{2}{3}} + 109375 \cdot 7^{\frac{1}{3}} x^{\frac{1}{3}} - 78125

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=((x^{1/7}+5)^3)/7 ?
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