What is the inverse of f(x)=7-6x^2 ?

The inverse of f(x)=7-6x^2 is sqrt(-(x-7)/6),-sqrt(-(x-7)/6)

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inverse of f(x)=7-6x^2

inverse

f (x) = 7 - 6 x^{2}

- \frac{x - 7}{6}, - - \frac{x - 7}{6}

Solution steps

y = 7 - 6 x^{2}

Replace

x

with

y

x = 7 - 6 y^{2}

Solve for

y, x = 7 - 6 y^{2}

- \frac{x - 7}{6}, - - \frac{x - 7}{6}

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

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

y = 6

f (x) = - 2 x + 6

f (x) = 4 x^{3}

What is the inverse of f(x)=7-6x^2 ?
The inverse of f(x)=7-6x^2 is sqrt(-(x-7)/6),-sqrt(-(x-7)/6)