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Popular >

inverse of f(x)=1+2^x

Solution

inverse

f (x) = 1 + 2^{x}

Solution

\frac{ln ( x - 1 )}{ln ( 2 )}

Solution steps

y = 1 + 2^{x}

Replace

x

with

y

x = 1 + 2^{y}

Solve for

y, x = 1 + 2^{y}

\frac{ln ( x - 1 )}{ln ( 2 )}

Popular Examples

intercepts of y=x+5 intercepts

y = x + 5

domain of f(x)= 6/(x+5)+x domain

f (x) = \frac{6}{x + 5} + x

parity f(x)=ln(x-1)+e^x-sec(x)parity

f (x) = ln (x - 1) + e^{x} - sec (x)

slope of f(x)= 4/9 x slope

f (x) = \frac{4}{9} x

range of x^2+4x-12 range

x^{2} + 4 x - 12

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=1+2^x ?
The inverse of f(x)=1+2^x is (ln(x-1))/(ln(2))