What is the inverse of f(x)=7(x+5)^3-6 ?

The inverse of f(x)=7(x+5)^3-6 is \sqrt[3]{(x+6)/7}-5

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inverse of f(x)=7(x+5)^3-6

inverse

f (x) = 7 (x + 5)^{3} - 6

Solution steps

y = 7 (x + 5)^{3} - 6

Replace

x

with

y

x = 7 (y + 5)^{3} - 6

Solve for

y, x = 7 (y + 5)^{3} - 6

\frac{2}{x ^{2} - 2 x - 3}

3 (x - 1)^{2} - 2

\frac{x - x ^{2}}{( x + 1 ) ^{2}}

y = x + 2 + 3

(2, 0), (0, - 2)

What is the inverse of f(x)=7(x+5)^3-6 ?
The inverse of f(x)=7(x+5)^3-6 is \sqrt[3]{(x+6)/7}-5