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

The inverse of f(x)=3(x+5)^2 is sqrt(x/3)-5,-sqrt(x/3)-5

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

inverse

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

\frac{x}{3} - 5, - \frac{x}{3} - 5

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{x}{3} - 5, - \frac{x}{3} - 5

f (x) = lo g_{2} (2 x - 4)

- 2 x^{3}

f (x) = 4 - 4 x

f (x) = 2 (4)^{x}

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