Primeira página
/
Matemática
/
Which of the following is the inverse function of f(x)=3x f-1(x)=x^wedge 3 f-1(x)=x+3 f-1(x)=x-3 f-1(x)=x/3

Pergunta

Which of the following is the inverse function of f(x)=3x
f-1(x)=x^wedge 3
f-1(x)=x+3
f-1(x)=x-3
f-1(x)=x/3

Which of the following is the inverse function of f(x)=3x f-1(x)=x^wedge 3 f-1(x)=x+3 f-1(x)=x-3 f-1(x)=x/3

Solução

expert verifiedVerification of experts
4.1300 Voting
avatar
AgnethaVeterano · Tutor por 10 anos

Responder

To find the inverse function of $f(x) = 3x$, we need to swap the roles of $x$ and $y$ and solve for $y$.<br /><br />Given $y = 3x$, we swap $x$ and $y$ to get $x = 3y$.<br /><br />Now, we solve for $y$:<br />$y = \frac{x}{3}$<br /><br />Therefore, the inverse function of $f(x) = 3x$ is $f^{-1}(x) = \frac{x}{3}$.<br /><br />So, the correct answer is $f^{-1}(x) = \frac{x}{3}$.
Clique para avaliar: