What is the inverse of f(x)=2^{x+4}-3 ?

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

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inverse of f(x)=2^{x+4}-3

inverse

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

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

Solution steps

y = 2^{x + 4} - 3

Replace

x

with

y

x = 2^{y + 4} - 3

Solve for

y, x = 2^{y + 4} - 3

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

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

f (x) = - \frac{16}{x}

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

(- 5, 1), (- 2.5, 6)

\frac{5 x - 2}{x + 9}

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