Question

-4x-6=-5y 2 write a formula for g(x) in terms of x. g(x)= ?

Answer 1

To write the function g(x) in terms of x from the equation -4x - 6 = -5y, solve for y to find g(x) = (4/5)x - 6/5. To write a formula for g(x) in terms of x, solve the equation for y and then replace y with g(x). The formula is g(x) = (4x + 6) / 5.

Step-by-step explanation:

To write a formula for g(x) in terms of x, we need to solve the equation for y and then replace y with g(x).

First, let's solve the given equation for y:

-4x - 6 = -5y

Divide both sides of the equation by -5:

y = (4x + 6) / 5

Now, we can replace y with g(x) to get the formula:

g(x) = (4x + 6) / 5