Help !! For a given input value x, the function g outputs a value y to satisfy the following equation.

-4x-6=-5y+2

Write a formula for g(x), in terms of x

g(x)=

g(x)= 4x/5 + 8/5

Step-by-step explanation:

rewrite the equation as: -5y+2= -4x-6

move all terms not containing y to y=the right side of the equation

subtract 2 from both sides of the equation: -5y=-4x-6-2

subtract 2 from-6: -5y=-4x-8

divide each side by -5 and simplify: -5y=-4x-8 by -5

-5y÷-5 = -4x÷-5 + -8÷-5

now cancel the common factor of -5

divide y by 1: y= -4x/-5+ -8/-5

divide the negative to get the positives: y= (4)x/5 + -8/-5

y= 4x/5 +8/5

I hope this helped sorry if it wasn't what you were looking for.

its kind of blurry. can you put a clearer pic?

step-by-step explanation:

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11