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den301095 [7]
3 years ago
14

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

Mathematics
2 answers:
alexandr402 [8]3 years ago
6 0

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.

lions [1.4K]3 years ago
5 0
Hello,

Answer D

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

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