What is the inverse of f(x)=-4sqrt(x-1)+7 ?

The inverse of f(x)=-4sqrt(x-1)+7 is (x^2+49}{16}-\frac{7x)/8+1

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inverse of f(x)=-4sqrt(x-1)+7

inverse

f (x) = - 4 x - 1 + 7

\frac{x ^{2} + 49}{16} - \frac{7 x}{8} + 1

Solution steps

y = - 4 x - 1 + 7

Replace

x

with

y

x = - 4 y - 1 + 7

Solve for

y, x = - 4 y - 1 + 7

\frac{x ^{2} + 49}{16} - \frac{7 x}{8} + 1

- 2 x - 8

\frac{x}{x - 1}

f (x) = \frac{6 x - 7}{2 x - 2}

x^{2} + 2 x + 4

x^{2} + 2 x - 1

What is the inverse of f(x)=-4sqrt(x-1)+7 ?
The inverse of f(x)=-4sqrt(x-1)+7 is (x^2+49}{16}-\frac{7x)/8+1