Use compositions to verify that g and g^-1 are in fact inverses. g(x): 1/x+2
g^-1(x): 1/x - 2

as written there, they are not inverses

proof by counter example:  since g(1) = 3  , but g^-1(3) = -5/3 != 1

Step-by-step explanation:

g(g^-1(x))  == x    if they are indeed inverses

1/(1/x -2)  + 2  =   x/(1-2x) + 2  != x    so, they are not inverses

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

step-by-step explanation:

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