What is the inverse of f(x)=2log_{3}(x-4)+1 ?

The inverse of f(x)=2log_{3}(x-4)+1 is 3^{(x-1)/2}+4

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inverse of f(x)=2log_{3}(x-4)+1

inverse

f (x) = 2 lo g_{3} (x - 4) + 1

3^{\frac{x - 1}{2}} + 4

Solution steps

y = 2 lo g_{3} (x - 4) + 1

Replace

x

with

y

x = 2 lo g_{3} (y - 4) + 1

Solve for

y, x = 2 lo g_{3} (y - 4) + 1

3^{\frac{x - 1}{2}} + 4

f (x) = \frac{2.5 x + 1}{x}

f (x) = 2 5 x

\frac{( x - 6 ) ( x + 6 )}{x ^{2} - 9}

f (x) = arccsc (2)

f (x) = - 3 x + \frac{6}{7}

What is the inverse of f(x)=2log_{3}(x-4)+1 ?
The inverse of f(x)=2log_{3}(x-4)+1 is 3^{(x-1)/2}+4