You might have to retake the quarter of that class (depending on what class you failed). You shouldn’t get held back unless you fail the whole year. Also, if you do semesters, it will mostly lie on if you fail the semester rather than the quarter. If you do need to retake a class, I might suggest doing it during the summer (if that is an option)
<h3>
Answer: 12</h3>
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Explanation:
First lets compute the value of g(1.5)
Plug x = 1.5 into the g(x) function
g(x) = 8 - 3x
g(1.5) = 8 - 3*1.5 <<--- note how every x is replaced with 1.5
g(1.5) = 8 - 4.5
g(1.5) = 3.5
We ultimately want the value of h(g(1.5)), but that is the same as h(3.5) because we found g(1.5) = 3.5; effectively, g(1.5) and 3.5 are the same value.
Let's compute h(3.5) by plugging in x = 3.5 into the h(x) function.
h(x) = 2x + 5
h(3.5) = 2(3.5) + 5
h(3.5) = 7+5
h(3.5) = 12
h(g(1.5)) = 12 which is the final answer
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An alternative track is to first figure out what h(g(x)) would be in general, by first doing this
h(x) = 2x + 5
h(g(x)) = 2*( g(x) ) + 5 <<---- every x replaced with g(x)
h(g(x)) = 2*( 8-3x ) + 5 <<---- the g(x) replaced with 8-3x
h(g(x)) = 16 - 6x + 5
h(g(x)) = -6x + 21
From here, we plug in x = 1.5
h(g(x)) = -6x + 21
h(g(1.5)) = -6*1.5 + 21
h(g(1.5)) = -9 + 21
h(g(1.5)) = 12 which is the same answer as before
