Question

Dadas f(x)= 2x-3 e g(x) sua inversa, podemos afirmar que g(1) é igual a:

Answer 1

$\boxed{f(x)=2x-3}$

$x=2g(x)-3\ \therefore\ f^{-1}(x)=\dfrac{x+3}{2}\ \therefore\ \boxed{g(x)=\dfrac{x+3}{2}}$

$g(1)=\dfrac{1+3}{2}=\dfrac{4}{2}\ \therefore\ \boxed{g(1)=2}$

Answer 2

Resposta:

g(1) = 2

Explicação passo-a-passo:

y = 2x - 3

Permutando as variáveis

x = 2y - 3

2y = x + 3

y = 1/2 x + 3/2

g(x) = 1/2 x + 3/2

g(1) = 1/2. 1 + 3/2

g(1) = 1 + 3)/2

g(1) = 4/2

g(1) = 2