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

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

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inverse of f(x)=2sqrt(((x-3))/4)+1

inverse

f (x) = 2 \frac{( x - 3 )}{4} + 1

x^{2} - 2 x + 4

Solution steps

y = 2 \frac{x - 3}{4} + 1

Replace

x

with

y

x = 2 \frac{y - 3}{4} + 1

Solve for

y, x = 2 \frac{y - 3}{4} + 1

x^{2} - 2 x + 4

\frac{3}{x}

f (x) = 2 - (x - 4.3) - 5.75

x^{2} - \frac{3}{5}

x^{3} + 11

f (x) = (x + 1)^{\frac{4}{7}}

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