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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 0.5 x + 1.5

f (x) = \frac{( 2 + 8 x )}{55 - 9 x}

30 x + 4500

f (x) = \frac{e ^{x}}{7 + 2 e ^{x}}

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