3 years ago

Help I need the answers

Mathematics

2 answers:

Agata [3.3K]3 years ago

8 0

240
/ \
5 48
/ \
8 . 6
/ \. /. \
2 . 4. 3 . 2
/ \
2 . 2

jolli1 [7]3 years ago

7 0

240
/ \
5 48
/ \
6 8
/ \ / \
3 2 4 2

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If f(x) = x-1/3 and g(x)= 3x+1, what is (f o g)(x)?

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Answer:

$(f o g)(x) = 3x + \frac{2}{3}$

Step-by-step explanation:

We have the function $f(x) = x-\frac{1}{3}$ and we have the function $g(x) = 3x + 1$ . We want to find g(x) composed with f(x)

Then, the function (f o g)(x) is the same since f(g(x))

That is, you must do x = g(x) and then enter g(x) into the function f(x).

$f(g(x)) = (g(x)) -\frac{1}{3}$

$f(g(x)) = (3x + 1) -\frac{1}{3}$

Simplifying, we obtain:

$(f o g)(x) = 3x + 1 -\frac{1}{3}\\\\(f o g)(x) = 3x + \frac{2}{3}$

Finally. The composite function is:

$(f o g)(x) = 3x + \frac{2}{3}$

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