contestada

Find the inverse of the function: f(x)=1/5x+4


A f−1(x)=x−4

B f−1(x)=5x−20

C f−1(x)=−5x−4

D f−1(x)=4x−5

Respuesta :

Tasyha

Answer:

B. [tex] {f}^{ - 1} (x) = 5x - 20[/tex]

Step-by-step explanation:

[tex]f(x) = \frac{1}{5} x + 4[/tex]

[tex]y = \frac{1}{5} x + 4[/tex]

[tex]x = \frac{1}{5} y + 4[/tex]

[tex] \frac{1}{5} y + 4 = x[/tex]

[tex]y + 20 = 5x[/tex]

[tex]y = 5x - 20[/tex]

[tex] \boxed{\green{{f}^{ - 1} (x) = 5x - 20}}[/tex]