Question

Dada a função f(x)= 2x-11 SOBRE 6 determine a) A função inversa de f(x); b) O valor de f-¹(-2) Me ajudem Pfvr

Answer 1

$\tt{a)}~\sf{f(x)=\dfrac{2x-11}{6}}\\\sf{2x-11=6f(x)}\\\sf{2x=6f(x)+11}\\\sf{x=\dfrac{6f(x)+11}{2}}\\\huge\boxed{\boxed{\boxed{\boxed{\sf{f^{-1}(x)=\dfrac{6x+11}{2}}}}}}$

$\tt{b)}~\sf{f^{-1}(-2)=\dfrac{6\cdot(-2)+11}{2}}\\\sf{f^{-1}(2)=\dfrac{-12+11}{2}}\\\huge\boxed{\boxed{\boxed{\boxed{\sf{f^{-1}(2)=-\dfrac{1}{2}}}}}}$