For this case we must resolve each of the inequalities and find the solution set.
Inequality 1:

We subtract 7 from both sides of the inequality:

We divide between 12 on both sides of the inequality:

Thus, the solution is given by all values of x less than
Inequality 2:

We add 8 to both sides of the inequality:

We divide between 5 on both sides of the inequality:

Thus, the solution is given by all values of x greater than
The solution set is given by:
(-∞,
) U (
,∞)
Answer:
(-∞,
) U (
,∞)
Rewrite g(x) as x-1
------
4
and then substitute this result for x in f(x) = x^2 - 3x + 3:
f(g(x)) = (x-1)^2 / 4^2 - 3(x-1)/4 + 3.
At this point we can substitute the value 5 for x:
f(g(5)) = (5-1)^2 / 4^2 - 3(5-1)/4 + 3
= 16/16 - 3(4/4) + 3 = 1 - 3 + 3 = 1
Therefore, f(g(5)) = 1.
Dude that’s not an answer
The second one is d 78 and 82
B and D because the domain is the set of X coordinates. (x, y) x is your domain.