What is the inverse of f(x)=5x+sqrt(x+26) ?

The inverse of f(x)=5x+sqrt(x+26) is (10x+1+sqrt(20x+2601))/(50),(10x+1-sqrt(20x+2601))/(50)

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inverse of f(x)=5x+sqrt(x+26)

inverse

f (x) = 5 x + x + 26

\frac{10 x + 1 + 20 x + 2601}{50}, \frac{10 x + 1 - 20 x + 2601}{50}

Solution steps

y = 5 x + x + 26

Replace

x

with

y

x = 5 y + y + 26

Solve for

y, x = 5 y + y + 26

\frac{10 x + 1 + 20 x + 2601}{50}, \frac{10 x + 1 - 20 x + 2601}{50}

What is the inverse of f(x)=5x+sqrt(x+26) ?
The inverse of f(x)=5x+sqrt(x+26) is (10x+1+sqrt(20x+2601))/(50),(10x+1-sqrt(20x+2601))/(50)