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

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

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inverse of-5+5(x-3)^2

inverse

- 5 + 5 (x - 3)^{2}

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

y = 5 x - 7

y = 5 x - 8

f (x) = 2 sin (4 x)

\frac{x ^{2}}{x - 5} \cdot \frac{5 x - 10}{2 x}

f (x) = ln (x) + 9

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