For which function is f(x) equal to f-1(x)? a. f(x)=x+6/x-6 b. f(x)=x+2/x-2 c. f(x)=x+1/x-1 d. f(x)=x+5/x-5

Part C

Step-by-step explanation:

Part (i)

Let f(x)=y

let us solve the above equation for x and replace y with x in the final result

y(x-6)=x+6

xy-6y=x+6

xy-x=6y+6

taking x and 6 out side the bracket

x(y-1)=6(y+1)

replacing x with y

Hence Inverse not equal to the original function

hence Not true

Part (ii)

Let f(x)=y

let us solve the above equation for x and replace y with x in the final result

y(x-2)=x+2

xy-2y=x+2

xy-x=2y+2

taking x and 2 out side the bracket

x(y-1)=2(y+1)

replacing x with y

Hence Inverse not equal to the original function

hence Not true

Part (iii)

Let f(x)=y

let us solve the above equation for x and replace y with x in the final result

y(x-1)=x+1

xy-y=x+1

xy-x=y+1

taking x and 1 out side the bracket

x(y-1)=1(y+1)

replacing x with y

Hence Inverse equal to the original function

hence true

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

definitely a. the others have almost all data points on one side of the line.

step-by-step explanation: