Let f(x) = -3x - 4 and g(x) = 2x - 6. Find (f o g) (-7) A. 28 B. -20 C. 17 D. 56
Mathematics · High School · Mon Jan 18 2021
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Given the function:
Let f(x) = -3x - 4 and g(x) = 2x - 6.
Find (f o g)
Solution:
The given condition is a composition of a function, whereas we substitute the value of g(x) to f(x).
(f o g) = -3(2x - 6) - 4
(f o g) = -6x + 18 - 4
(f o g) = -6x + 14
(f o g)(-7) = -6(-7) + 14
(f o g)(-7) = 42 + 14
(f o g)(-7) = 56
Final answer:
D. 56