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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 2 π r

\frac{2 x ^{2} - 2}{x ^{2} + 3 x - 4}

f (x) = 2 (5 x - 7) + 3

\frac{( s + 3 )}{( s + 2 ) ( s + 1 )}

f (x) = 5^{x} + 7

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