What is the inverse of function f(x)=10/9x+11

The inverse is 9/10(x-11)

Step-by-step explanation:

y = 10/9x +11

Exchange x and y

x = 10/9 y +11

Solve for y

x-11 = 10/9 y+11-11

x-11 = 10/9y

Multiply each side by 9/10

9/10(x-11) = 9/10 ( 10/9) y

9/10(x-11) =  y

The inverse is 9/10(x-11)

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15