9514 1404 393
Answer:
x = g(y) = (4 -5y)/(7 -5y)
Step-by-step explanation:
The inverse function y = f(x) is found by solving x = f(y) for y.
[tex]x=f(y)\\\\x=\dfrac{4-7y}{5-5y}\\\\5x-5xy=4-7y\qquad\text{multiply by $(5-5y)$}\\\\7y-5xy=4-5x\qquad\text{add $(7y-5x)$}\\\\y=\dfrac{4-5x}{7-5x}[/tex]
You apparently want this written as a function of y:
x = g(y) = (4 -5y)/(7 -5y)
