What is the inverse of g? g (x) = 4 - x A) g - 1 (x) = 4x B) g - 1 (x) = 4 + x C) g - 1 (x) = 4 - x D) g - 1 (x) = 4 x

Question

Mathematics

Cole Fisher

6 November, 19:08

What is the inverse of g? g (x) = 4 - x A) g - 1 (x) = 4x B) g - 1 (x) = 4 + x C) g - 1 (x) = 4 - x D) g - 1 (x) = 4 x

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Answers (1)

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Alisha Ray · Answer 1

B) g^ - 1 (x) = 4 + x

Step-by-step explanation:

g (x) = 4 - x

Let g (x) = y

y = 4-x

To find the inverse, exchange x and y

x = y-4

Solve for y

Add 4 to each side

x+4 = y-4+4

x+4 = y

This is the inverse function

g^-1 (x) = x+4