Question

For a given input value xxx, the function ggg outputs a value yyy to satisfy the following equation. -4x-6=-5y+2−4x−6=−5y+2minus, 4, x, minus, 6, equals, minus, 5, y, plus, 2 Write a formula for g(x)g(x)g, left parenthesis, x, right parenthesis in terms of xxx. g(x)=g(x)=g, left parenthesis, x, right parenthesis, equals

Answer 1

Answer:

The function g(x) that outputs a y value to satisfy the equation -4·x - 6 = -5·y + 2 is g(x) = y = 4/5·x + 8/5

Step-by-step explanation:

The y value of the equation that the required function g(x) outputs = -4·x - 6 = -5·y + 2

Therefore, we have;

-4·x - 6 = -5·y + 2

-5·y + 2 = -4·x - 6

-5·y = -4·x - 6 - 2 = -4·x - 8

Therefore, y = (-4·x - 8)/(-5) = 4/5·x + 8/5

y = 4/5·x + 8/5

Which gives;

g(x) = y = 4/5·x + 8/5

Therefore;

The function g(x) that outputs a y value to satisfy the equation -4·x - 6 = -5·y + 2 is g(x) = y = 4/5·x + 8/5