Mathematics: If f(x)=log2(x+4), what is f^-1(3)?

If f(x)=log2(x+4), what is f^-1(3)? - id24137531709, javibote

Ответ:

Dweath50

02.02.2022

$f\left( x \right) =\log _{ 2 }{ \left( x+4 \right) } \\ \\ \log _{ 2 }{ \left( x+4 \right) } =y\\ \\ { 2 }^{ y }=x+4$

$\\ \\ x={ 2 }^{ y }-4\\ \\ \therefore \quad { f }^{ -1 }\left( x \right) ={ 2 }^{ x }-4\\ \\ \therefore \quad { f }^{ -1 }\left( 3 \right) ={ 2 }^{ 3 }-4=4$