What is the inverse of f(x)=5x^2-4 ?

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

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inverse of f(x)=5x^2-4

inverse

f (x) = 5 x^{2} - 4

\frac{x + 4}{5}, - \frac{x + 4}{5}

Solution steps

y = 5 x^{2} - 4

Replace

x

with

y

x = 5 y^{2} - 4

Solve for

y, x = 5 y^{2} - 4

\frac{x + 4}{5}, - \frac{x + 4}{5}

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

y = tan (x^{2})

y = - 2 x + 6

\frac{10 x ^{2}}{x ^{4} + 25}

f (x) = 3 - x - x^{2} - 1

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