Question

Seja a função g(x) = 2x - 1 então o valor de g -¹ (elevado a menos 1) (7) é:

Answer 1

$g(x)=2x-1\\x=2g^{-1}(x)-1\\x+1=2g^{-1}x\\\\\boxed{\boxed{g^{-1}(x)=\dfrac{x+1}{2}}}$

Calculando para x = 7:

$g^{-1}(x)=\dfrac{x+1}{2}\\\\\\g^{-1}(7)=\dfrac{7+1}{2}\\\\\\g^{-1}(7)=\dfrac{8}{2}\\\\\\\boxed{\boxed{g^{-1}(7)=4}}$