What is the inverse of f(x)=(x^2)/5+2 ?

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

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inverse of f(x)=(x^2)/5+2

inverse

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

5 x - 10, - 5 x - 10

Solution steps

y = \frac{x ^{2}}{5} + 2

Replace

x

with

y

x = \frac{y ^{2}}{5} + 2

Solve for

y, x = \frac{y ^{2}}{5} + 2

5 x - 10, - 5 x - 10

f (x) = \frac{2 x - 5}{9 x - 4}

f (x) = \frac{9}{x + 2}

f (x) = \frac{9}{x + 1}

f (x) = \frac{9}{x + 7}

f (x) = - 2 (x - 2)^{2} + 8

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