let f(x) = 4x + 5 and g(x) = 9x − 4 f-g (f-g)(x)=
Mathematics · Middle School · Mon Jan 18 2021
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Given the functions:
f(x) = 4x + 5
g(x) = 9x - 4
Determine (f - g)(x)
Solution:
In order to determine (f - g)(x), we simply need to equate the two functions, separated by a minus sign.
(f - g)(x) = (4x + 5) - (9x - 4)
Combine like terms
(f - g)(x) = 4x + 5 - 9x + 4
(f - g)(x) = -5x +9
Final answer:
(f - g)(x) = -5x +9