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.