Jacky’s Exams Solutions
These are the solutions for test I made.
Author: KatieSalas
Test #3, Question #2 Solution
Quiz 2, Version A, Problem 3
Quiz 2, Version A, Problem 3
Chapter 6 Textbook Exercise 6.3 Question b)
Let f(x) = 2x-3 and g(x) = 3x2 + 4x. Find the following composition g(f(2)):
First find g(f(x))
g(f(x)) = g(2x-3)
= 3(2x-3)2 + 4(2x-3)
= 3(4x2-12x+9) +8x -12
= 12x2 -36x +27 +8x -12
g(f(x)) = 12x2 -28x +15
Now we can solve for g(f(2))
g(f(2)) = 12(2)2 -28(2) +15
= 12(4) – 56 +15
= 48 -56 +15
g(f(2)) = 7
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