What is the inverse of f(x)=4sqrt(4x-3)-1 ?

The inverse of f(x)=4sqrt(4x-3)-1 is (x^2+2x+49)/(64)

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inverse of f(x)=4sqrt(4x-3)-1

inverse

f (x) = 4 4 x - 3 - 1

\frac{x ^{2} + 2 x + 49}{64}

Solution steps

y = 4 4 x - 3 - 1

Replace

x

with

y

x = 4 4 y - 3 - 1

Solve for

y, x = 4 4 y - 3 - 1

\frac{x ^{2} + 2 x + 49}{64}

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

f (x) = \frac{( 5 x - 7 )}{- 8 x + 1}

f (x) = \frac{2 x + 5}{x - 1}

- 2 x - 3

f (x) = \frac{2 x + 5}{x - 4}

What is the inverse of f(x)=4sqrt(4x-3)-1 ?
The inverse of f(x)=4sqrt(4x-3)-1 is (x^2+2x+49)/(64)