What is the inverse of f(x)=16x^4-36 ?

The inverse of f(x)=16x^4-36 is (\sqrt[4]{x+36})/2 ,-(\sqrt[4]{x+36})/2

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inverse of f(x)=16x^4-36

inverse

f (x) = 16 x^{4} - 36

Solution steps

y = 16 x^{4} - 36

Replace

x

with

y

x = 16 y^{4} - 36

Solve for

y, x = 16 y^{4} - 36

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

f (x) = \frac{15 x}{4 x + 1}

y = \frac{2 + ln ( 4 x + 3 )}{5}

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

f (x) = 5 + ln (x - 3)

What is the inverse of f(x)=16x^4-36 ?
The inverse of f(x)=16x^4-36 is (\sqrt[4]{x+36})/2 ,-(\sqrt[4]{x+36})/2