122k views
4 votes
Find the inverse function of g(x) = 2x+4.

User Lloiacono
by
9.2k points

1 Answer

6 votes

Answer:


g^(-1) (x) = x/2 - 2

Explanation:

given:

g(x) = 2x+4

let y = g(x)

y = 2x+4 (rearrange to express x in terms of y, subtract 4 from both sides)

y - 4 = 2x (divide both sides by 2)

y/2 -2 = x (rearrange)

x = y/2 - 2

to find inverse, switch x and y

y = x/2 - 2

hence


g^(-1) (x) = y = x/2 - 2

User Vincentmajor
by
7.9k points

No related questions found