If f(x)=3x+1/2-x then f^-1(x)=

7/3

Step-by-step explanation:

f

−

1

(

y

)

=

x

=

3

y

−

1

2

⇒

2

x

=

3

y

−

1

⇒

y

=

2

x

+

1

3

f

−

1

(

3

)

=

2

⋅

3

+

1

3

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

ruth is 6 years old

step-by-step explanation:

6 + 24 = 30,   so 6/30 = .2  

if you do 1/5 it also equals .2, so that is the answer.