What is the inverse of f(x)=-3sqrt(-x+4.7)+1.56 ?

The inverse of f(x)=-3sqrt(-x+4.7)+1.56 is -(x^2-3.12x+2.4336)/9+4.7

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inverse of f(x)=-3sqrt(-x+4.7)+1.56

inverse

f (x) = - 3 - x + 4.7 + 1.56

- \frac{x ^{2} - 3.12 x + 2.4336}{9} + 4.7

Solution steps

y = - 3 - x + 4.7 + 1.56

Replace

x

with

y

x = - 3 - y + 4.7 + 1.56

Solve for

y, x = - 3 - y + 4.7 + 1.56

- \frac{x ^{2} - 3.12 x + 2.4336}{9} + 4.7

\frac{3 x + 6}{x ^{2} + 2 x - 8}

x + 5 y = - 15

x^{4} - 8 x^{2} + 16

f (x) = x^{2} + 6 x + 9

f (x) = 4 x + 1, 0 \leq x < 1

What is the inverse of f(x)=-3sqrt(-x+4.7)+1.56 ?
The inverse of f(x)=-3sqrt(-x+4.7)+1.56 is -(x^2-3.12x+2.4336)/9+4.7