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

The inverse of f(x)=((sqrt(x))/(10)+3)^7 is 100x^{2/7}-600\sqrt[7]{x}+900

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

inverse

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

(- 1, - 1), (7, - 7)

f (x) = 16 x + \frac{25}{x}

f (x) = \frac{x ^{3}}{x ^{2} + 3 x - 10}

f (x) = (x^{7} - 2)^{9}

f (x) = lo g_{2} (x + 2)

What is the inverse of f(x)=((sqrt(x))/(10)+3)^7 ?
The inverse of f(x)=((sqrt(x))/(10)+3)^7 is 100x^{2/7}-600\sqrt[7]{x}+900