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Vedmedyk [2.9K]
3 years ago
10

Someone please help me

Mathematics
1 answer:
SOVA2 [1]3 years ago
6 0
Gosh, when I saw that my mind went blank
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The special features of a polynomial graph are sharp corners but in these types of graphs it also has smooth curves. Polynomial graphs functions also display graphs that have no breaks.Curves with no breaks are called continuous.

Step-by-step explanation:

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For the functions f(x) = 6x – 1 and g(x) = 4x2 + x, find (gºf)(x).<br> Provide your answer bolow
emmainna [20.7K]

For this case we have the following functions:

f (x) = 6x-1\\g (x) = 4x ^ 2 + x

We must find (g_ {o} f) (x):

By definition of composition of functions we have to:

(g_ {o} f) (x) = g (f (x))

So:

(g_ {o} f) (x) = 4 (6x-1) ^ 2 + (6x-1) = 4 ((6x) ^ 2-2 (6x) (1) + (1) ^ 2) + 6x -1 = 4 (36x ^ 2-12x + 1) + 6x-1 = 144x ^ 2-48x + 4 + 6x-1 = 144x ^ 2-42x + 3

We have different signs subtracted and the sign of the major is placed.

Finally we have to:

(g_ {o} f) (x) = 144x ^ 2-42x + 3

ANswer:

(g_ {o} f) (x) = 144x ^ 2-42x + 3

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