<span>The
graph of y against x in inverse proportion is a rectangular hyperbola
but I don't see at all how this knowledge/observation is any help in
solving the problem.
Inverse proportion means that as x doubles y will halve and the equation
is xy = k where k is some number. A good example of inverse proportion
is speed and time taken over some fixed distance. In this case x could
represent the speed (mph) and y the time (h) and then k is the distance
in miles.
Since we know y=3 when x=2 we have xy = 6. Now it's easy to see when x=6 y=1.</span>
y = mx + b, where m = slope, and b = y-intercept.
Since you are not given the y-intercept, you have to solve for it through the equation, y = (4/5)x (which is the slope you are given) + b, and replace x and y with values given, which are (-5,-3)
y = (4/5)x + b
-3 = (4/5)(-5) + b
-3 = -4 + b
1 = b
Then replace b in the first equation to get the answer
y = (4/5)x + 1
Answer:
f(g(-4)) = 13.
g(f(-4)) = -3.
Step-by-step explanation:
g(-4) = (-4)^2 + 3(-4) - 1
= 3.
so f(g(-4))
= f(3)
= 2(3) + 7
= 13.
f(-4) = 2(-4) + 7
= -1.
so g (f(-4))
= g(-1)
= (-1)^2 - 3 - 1
= -3.
