What is the inverse of h(x)=x=(2x+3)/(5-x) ?

The inverse of h(x)=x=(2x+3)/(5-x) is -(3-5x)/(2+x)

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inverse of h(x)=x=(2x+3)/(5-x)

inverse

h (x) = x = \frac{2 x + 3}{5 - x}

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

Solution steps

y = \frac{2 x + 3}{5 - x}

Replace

x

with

y

x = \frac{2 y + 3}{5 - y}

Solve for

y, x = \frac{2 y + 3}{5 - y}

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

f (x) = 2 x^{2} - 7

\frac{1}{2 - x}

sin (\frac{x}{2})

f (x) = 15 x + 12

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

What is the inverse of h(x)=x=(2x+3)/(5-x) ?
The inverse of h(x)=x=(2x+3)/(5-x) is -(3-5x)/(2+x)