What is the inverse of f(x)=sqrt(4x-5)-10 ?

The inverse of f(x)=sqrt(4x-5)-10 is (x^2+20x+105)/4

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inverse of f(x)=sqrt(4x-5)-10

inverse

f (x) = 4 x - 5 - 10

\frac{x ^{2} + 20 x + 105}{4}

Solution steps

y = 4 x - 5 - 10

Replace

x

with

y

x = 4 y - 5 - 10

Solve for

y, x = 4 y - 5 - 10

\frac{x ^{2} + 20 x + 105}{4}

\frac{( - 4 x - 4 )}{7 x + 8}

f (x) = \frac{( 12 - 4 x )}{( 12 - x )}

\frac{z ^{2}}{( z - 1 ) ( z - 3 )}

2^{x^{2} - 1}

What is the inverse of f(x)=sqrt(4x-5)-10 ?
The inverse of f(x)=sqrt(4x-5)-10 is (x^2+20x+105)/4