What is the inverse of f(x)=sqrt(5-log_{2)(3x-4)} ?

The inverse of f(x)=sqrt(5-log_{2)(3x-4)} is (2^{5-x^2}+4)/3

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inverse of f(x)=sqrt(5-log_{2)(3x-4)}

inverse

f (x) = 5 - lo g_{2} (3 x - 4)

\frac{2 ^{5 - x^{2}} + 4}{3}

Solution steps

y = 5 - lo g_{2} (3 x - 4)

Replace

x

with

y

x = 5 - lo g_{2} (3 y - 4)

Solve for

y, x = 5 - lo g_{2} (3 y - 4)

\frac{2 ^{5 - x^{2}} + 4}{3}

f (x) = \frac{7 x - 8}{2 x + 9}

cos (9 0^{\circ})

f (x) = \frac{2 x + 3}{3 x - 4}

f (x) = \frac{5}{7} x + 4

f (x) = 3 (\frac{e}{2}) + e^{2 x}

What is the inverse of f(x)=sqrt(5-log_{2)(3x-4)} ?
The inverse of f(x)=sqrt(5-log_{2)(3x-4)} is (2^{5-x^2}+4)/3