What is the inverse of f(x)=3x^{(2)}-1 ?

The inverse of f(x)=3x^{(2)}-1 is sqrt((x+1)/3),-sqrt((x+1)/3)

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

inverse

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

\frac{x + 1}{3}, - \frac{x + 1}{3}

Solution steps

y = 3 x^{2} - 1

Replace

x

with

y

x = 3 y^{2} - 1

Solve for

y, x = 3 y^{2} - 1

\frac{x + 1}{3}, - \frac{x + 1}{3}

n

f (x) = lo g_{10} (- 2 x^{2} + 8 x - a)

f (x) = x^{2} + 18 x + 81

arccos (1)

y = \frac{3 x + 1}{2}

What is the inverse of f(x)=3x^{(2)}-1 ?
The inverse of f(x)=3x^{(2)}-1 is sqrt((x+1)/3),-sqrt((x+1)/3)