Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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

Sagot :

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]

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.