What is the inverse of f(x)=(4x+5)/(3x-8) ?

The inverse of f(x)=(4x+5)/(3x-8) is (5+8x)/(3x-4)

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inverse of f(x)=(4x+5)/(3x-8)

inverse

f (x) = \frac{4 x + 5}{3 x - 8}

\frac{5 + 8 x}{3 x - 4}

Solution steps

y = \frac{4 x + 5}{3 x - 8}

Replace

x

with

y

x = \frac{4 y + 5}{3 y - 8}

Solve for

y, x = \frac{4 y + 5}{3 y - 8}

\frac{5 + 8 x}{3 x - 4}

f (x) = 4 cos (\frac{x}{3})

f (x) = - 4 lo g_{10} (- \frac{1}{3} (x + 2)) + 1

f (x) = 3 lo g_{6} (x)

e^{x^{2} - 2 x}

f (x) = 5 cos (x)

What is the inverse of f(x)=(4x+5)/(3x-8) ?
The inverse of f(x)=(4x+5)/(3x-8) is (5+8x)/(3x-4)