What is the inverse of f(x)=6log_{5}(-4x)-7 ?

The inverse of f(x)=6log_{5}(-4x)-7 is -(5^{(x+7)/6})/(4)

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inverse of f(x)=6log_{5}(-4x)-7

inverse

f (x) = 6 lo g_{5} (- 4 x) - 7

- \frac{5 ^{\frac{x + 7}{6}}}{4}

Solution steps

y = 6 lo g_{5} (- 4 x) - 7

Replace

x

with

y

x = 6 lo g_{5} (- 4 y) - 7

Solve for

y, x = 6 lo g_{5} (- 4 y) - 7

- \frac{5 ^{\frac{x + 7}{6}}}{4}

3 x + 18

f (x) = - \frac{3 x + 1}{x}

9 x^{2} - x^{3} - 3

f (x) = x^{2}

- 5 x + y = 5, (5, 5)

What is the inverse of f(x)=6log_{5}(-4x)-7 ?
The inverse of f(x)=6log_{5}(-4x)-7 is -(5^{(x+7)/6})/(4)