What is the inverse of f(x)=-3-1/2 sqrt(x+6) ?

The inverse of f(x)=-3-1/2 sqrt(x+6) is 4x^2+24x+30

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inverse of f(x)=-3-1/2 sqrt(x+6)

inverse

f (x) = - 3 - \frac{1}{2} x + 6

4 x^{2} + 24 x + 30

Solution steps

y = - 3 - \frac{1}{2} x + 6

Replace

x

with

y

x = - 3 - \frac{1}{2} y + 6

Solve for

y, x = - 3 - \frac{1}{2} y + 6

4 x^{2} + 24 x + 30

f (x) = x^{2}, - 2 \leq x \leq 2

f (x) = 5 sin (x) - 3

- 3 + lo g_{2} (x + 1)

\frac{1}{4 s ^{2} + 1}

1.15 x + 2.75 (40 - x)

What is the inverse of f(x)=-3-1/2 sqrt(x+6) ?
The inverse of f(x)=-3-1/2 sqrt(x+6) is 4x^2+24x+30