f(x) = 4x-5 and g(x) = 3x, find (fog)(x)
f(g) = 4g-5 = 4(3x)-5 = 12x-5
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To find (fog)(x), which represents the composite function of f(x) and g(x), we need to substitute g(x) into f(x).
Given f(x) = 4x - 5 and g(x) = 3x, we substitute g(x) into f(x):
(fog)(x) = f(g(x))
Substituting g(x) = 3x:
(fog)(x) = f(3x)
Now, substitute 3x into f(x):
(fog)(x) = 4(3x) - 5
Simplifying further:
(fog)(x) = 12x - 5
So, (fog)(x) = 12x - 5.
To find the composition of functions (fog)(x), you need to substitute g(x) into f(x) and simplify the expression.
Given:
f(x) = 4x - 5
g(x) = 3x
To find (fog)(x), substitute g(x) into f(x):
(fog)(x) = f(g(x))
Substituting g(x) into f(x):
(fog)(x) = f(3x)
Now, replace x in f(3x) with 3x:
f(3x) = 4(3x) - 5
Simplify the expression:
f(3x) = 12x - 5
Therefore, (fog)(x) = 12x - 5.