What is the inverse of f(x)=7b+sqrt(x+49b^2) ?

The inverse of f(x)=7b+sqrt(x+49b^2) is x^2-14bx

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inverse of f(x)=7b+sqrt(x+49b^2)

inverse

f (x) = 7 b + x + 49 b^{2}

x^{2} - 14 b x

Solution steps

y = 7 b + x + 49 b^{2}

Replace

x

with

y

x = 7 b + y + 49 b^{2}

Solve for

y, x = 7 b + y + 49 b^{2}

x^{2} - 14 b x

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

f (x) = \frac{3 x}{5 x - 6}

f (x) = 15 x^{3} - 15

f (x) = (9 - x^{2})^{\frac{1}{2}}

\frac{1}{x - 4} - 6

What is the inverse of f(x)=7b+sqrt(x+49b^2) ?
The inverse of f(x)=7b+sqrt(x+49b^2) is x^2-14bx