What is the inverse of f(x)=4x^2-15 ?

The inverse of f(x)=4x^2-15 is (sqrt(x+15))/2 ,-(sqrt(x+15))/2

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inverse of f(x)=4x^2-15

inverse

f (x) = 4 x^{2} - 15

\frac{x + 15}{2}, - \frac{x + 15}{2}

Solution steps

y = 4 x^{2} - 15

Replace

x

with

y

x = 4 y^{2} - 15

Solve for

y, x = 4 y^{2} - 15

\frac{x + 15}{2}, - \frac{x + 15}{2}

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

4 + lo g_{3} (x)

f (x) = 9 + lo g_{6} (x - 3)

f (t) = 57 e^{0.5 t}

f (x) = 1 - 6 x

What is the inverse of f(x)=4x^2-15 ?
The inverse of f(x)=4x^2-15 is (sqrt(x+15))/2 ,-(sqrt(x+15))/2