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Popular >

inverse of f(x)=2^{x/2}+5

Solution

inverse

f (x) = 2^{\frac{x}{2}} + 5

Solution

\frac{2 ln ( x - 5 )}{ln ( 2 )}

Solution steps

y = 2^{\frac{x}{2}} + 5

Replace

x

with

y

x = 2^{\frac{y}{2}} + 5

Solve for

y, x = 2^{\frac{y}{2}} + 5

\frac{2 ln ( x - 5 )}{ln ( 2 )}

Popular Examples

slope ofintercept y=x+5 slope intercept

y = x + 5

y = 2 x - 5

slope of y=(5(x-7))/6+5 slope

y = \frac{5 ( x - 7 )}{6} + 5

parity x^3-2x parity

x^{3} - 2 x

asymptotes of f(x)=(1/5)^x asymptotes

f (x) = (\frac{1}{5})^{x}

Frequently Asked Questions (FAQ)

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