What is the inverse of f(x)=log_{5}(6x+4)-3 ?

The inverse of f(x)=log_{5}(6x+4)-3 is (5^{x+3}-4)/6

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inverse of f(x)=log_{5}(6x+4)-3

inverse

f (x) = lo g_{5} (6 x + 4) - 3

\frac{5 ^{x + 3} - 4}{6}

Solution steps

y = lo g_{5} (6 x + 4) - 3

Replace

x

with

y

x = lo g_{5} (6 y + 4) - 3

Solve for

y, x = lo g_{5} (6 y + 4) - 3

\frac{5 ^{x + 3} - 4}{6}

d o main f (x) = - x^{2} + 6 x - 8

a sy m pt o t es f (x) = 2 - x

e x t re m e f (x) = e^{4 x} + e^{- 4 x}

s l o p e y = 4 x + 3

e x t re m e 2 x^{2}

What is the inverse of f(x)=log_{5}(6x+4)-3 ?
The inverse of f(x)=log_{5}(6x+4)-3 is (5^{x+3}-4)/6