Question

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.

Answer 1

To find the formula for g(x) in terms of x, solve the given equation for y and express y in terms of x. The formula for g(x) is y = (4x + 8)/5.

Step-by-step explanation:

To find the formula for g(x) in terms of x, we need to solve the given equation for y and then express y in terms of x.

Given equation: -4x - 6 = -5y + 2

Subtract 2 from both sides: -4x - 8 = -5y

Divide both sides by -5: (4x + 8)/5 = y

Therefore, the formula for g(x) is y = (4x + 8)/5.