What is the inverse of f(x)=(5-sqrt(x+2))^4+3 ?

The inverse of f(x)=(5-sqrt(x+2))^4+3 is sqrt(x-3)-10\sqrt[4]{x-3}+23,sqrt(x-3)+10\sqrt[4]{x-3}+23

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inverse of f(x)=(5-sqrt(x+2))^4+3

inverse

f (x) = (5 - x + 2)^{4} + 3

Solution steps

y = (5 - x + 2)^{4} + 3

Replace

x

with

y

x = (5 - y + 2)^{4} + 3

Solve for

y, x = (5 - y + 2)^{4} + 3

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

f (x) = \frac{4}{3} (x - 1)^{3} + 6

f (x) = \frac{( x + 13 )}{x - 10}

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

What is the inverse of f(x)=(5-sqrt(x+2))^4+3 ?
The inverse of f(x)=(5-sqrt(x+2))^4+3 is sqrt(x-3)-10\sqrt[4]{x-3}+23,sqrt(x-3)+10\sqrt[4]{x-3}+23