Answered

If F(x)=2x/7+4, which of the following of the inverse of F(x)?

AF-1(x)= 2(x-4)/7
BF-1(x)= 7(x+4)/2
CF-1(x)= 2(x+4)7
DF-1(x)= 7(x-4)/2

Please explain how you got the answer

Verified Answer :

caylus

Hello,

Answer D

y=2x/7+4
x=2y/7+4
(x-4)*7/2=y

Answer:

Option D is correct.

Step-by-step explanation:

Given : function f(x) = \(\frac{2x}{7}+4\)

We have to find inverse function of f(x)

Le, y be any arbitrary image of f(x).

So,   y = f(x)

\(y=\frac{2x}{7}+4\)

\(y-4=\frac{2x}{7}\)

\(7\times(y-4)=2x\)

\(x=\frac{7(y-4)}{2}\)

So, Inverse of f(x) is \(f^{-1}(x)=\frac{7(x-4)}{2}\)

Therefore, Option D is correct.