which function is the inverse of $f(x)=-5x - 4$?\n$\\circ\\ f^{-1}(x)=-\\frac{1}{5}x-\\frac{4}{5}$\n$\\circ\\…

which function is the inverse of $f(x)=-5x - 4$?\n$\\circ\\ f^{-1}(x)=-\\frac{1}{5}x-\\frac{4}{5}$\n$\\circ\\ f^{-1}(x)=-\\frac{1}{5}x + \\frac{4}{5}$\n$\\circ\\ f^{-1}(x)=-4x + 5$\n$\\circ\\ f^{-1}(x)=4x + 4$

which function is the inverse of $f(x)=-5x - 4$?\n$\\circ\\ f^{-1}(x)=-\\frac{1}{5}x-\\frac{4}{5}$\n$\\circ\\ f^{-1}(x)=-\\frac{1}{5}x + \\frac{4}{5}$\n$\\circ\\ f^{-1}(x)=-4x + 5$\n$\\circ\\ f^{-1}(x)=4x + 4$

Answer

Answer:

B. $f^{-1}(x)=-\frac{1}{5}x+\frac{4}{5}$

Explanation:

Step1: Escribir la función original

$y = - 5x-4$

Step2: Intercambiar $x$ e $y$

$x=-5y - 4$

Step3: Resolver para $y$

$x + 4=-5y$ $y=-\frac{1}{5}x-\frac{4}{5}$

Step4: Escribir la función inversa

$f^{-1}(x)=-\frac{1}{5}x+\frac{4}{5}$ (se corrigió el signo al despejar $y$ correctamente)