What is the inverse of f(x)=(3x^7+10)/4 ?

The inverse of f(x)=(3x^7+10)/4 is \sqrt[7]{(4x-10)/3}

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inverse of f(x)=(3x^7+10)/4

inverse

f (x) = \frac{3 x ^{7} + 10}{4}

Solution steps

y = \frac{3 x ^{7} + 10}{4}

Replace

x

with

y

x = \frac{3 y ^{7} + 10}{4}

Solve for

y, x = \frac{3 y ^{7} + 10}{4}

f (x) = \frac{2 x + 3}{x - 2}

f (y) = \frac{2 x - 1}{3}

\frac{2 x + 3}{5 x - 2}

f (x) = \frac{x ^{2} - 9}{x - 1}

\frac{x + 1}{x ^{2} - 4 x - 12}

What is the inverse of f(x)=(3x^7+10)/4 ?
The inverse of f(x)=(3x^7+10)/4 is \sqrt[7]{(4x-10)/3}