What is the inverse of f(x)=3sqrt(-2x+6)-4 ?

The inverse of f(x)=3sqrt(-2x+6)-4 is -(x^2+8x-38)/(18)

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inverse of f(x)=3sqrt(-2x+6)-4

inverse

f (x) = 3 - 2 x + 6 - 4

- \frac{x ^{2} + 8 x - 38}{18}

Solution steps

y = 3 - 2 x + 6 - 4

Replace

x

with

y

x = 3 - 2 y + 6 - 4

Solve for

y, x = 3 - 2 y + 6 - 4

- \frac{x ^{2} + 8 x - 38}{18}

f (x) = 2^{x - 2} - 3

f (x) = 4 x^{3} - 6 x^{2} + 7 x - 2

4 t^{2}

f (x) = \frac{8 x - 26}{6} = x - 3

\frac{1}{2} x + 5 - 3

What is the inverse of f(x)=3sqrt(-2x+6)-4 ?
The inverse of f(x)=3sqrt(-2x+6)-4 is -(x^2+8x-38)/(18)