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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

(4, 1), (9, 1)

y = 2 x + 14

\frac{8 x}{( x ^{2} - 16 )}

f (x) = 4 - 7 x^{3}

f (x) = - \frac{1}{4} (x^{2} - 14 x + 13)

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