What is the inverse of f(x)=-sqrt((3x+7)/2) ?

The inverse of f(x)=-sqrt((3x+7)/2) is (2x^2-7)/3

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inverse of f(x)=-sqrt((3x+7)/2)

inverse

f (x) = - \frac{3 x + 7}{2}

\frac{2 x ^{2} - 7}{3}

Solution steps

y = - \frac{3 x + 7}{2}

Replace

x

with

y

x = - \frac{3 y + 7}{2}

Solve for

y, x = - \frac{3 y + 7}{2}

\frac{2 x ^{2} - 7}{3}

(x - 2)^{2} + 1

y = lo g_{10} (x + 2)

\frac{1}{1 - x ^{2}}

f (x) = \frac{1}{2} ln (x - 4)

f (x) = \frac{1}{x - 4} - 6

What is the inverse of f(x)=-sqrt((3x+7)/2) ?
The inverse of f(x)=-sqrt((3x+7)/2) is (2x^2-7)/3