What is the inverse of y=40^{-(x+5.5)}+2.35 ?

The inverse of y=40^{-(x+5.5)}+2.35 is -(ln(x-2.35))/(ln(40))-5.5

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inverse of y=40^{-(x+5.5)}+2.35

inverse

y = 4 0^{- (x + 5.5)} + 2.35

- \frac{ln ( x - 2.35 )}{ln ( 40 )} - 5.5

Solution steps

y = 4 0^{- (x + 5.5)} + 2.35

Replace

x

with

y

x = 4 0^{- (y + 5.5)} + 2.35

Solve for

y, x = 4 0^{- (y + 5.5)} + 2.35

- \frac{ln ( x - 2.35 )}{ln ( 40 )} - 5.5

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

y = - \frac{1}{3} x^{2} + 4 x + 11

x^{2} + 6 x + 6

f (x) = \frac{x ^{2} - 8 x + 16}{x - 4}

(0, 0), (- 1, 7)

What is the inverse of y=40^{-(x+5.5)}+2.35 ?
The inverse of y=40^{-(x+5.5)}+2.35 is -(ln(x-2.35))/(ln(40))-5.5