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Vesna [10]
3 years ago
14

If f(x)=3x and g(x)=2x what is (gof)(x)?

Mathematics
2 answers:
Artyom0805 [142]3 years ago
8 0

Answer:

Given f(x) and g(x), please find (fog)(X) and (gof)(x) f(x) = 2x   g(x) = x+3    

Given f(x) and g(x), please find (fog)(X) and (gof)(x)

f(x) = 2x   g(x) = x+3    

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Quick Answer

(fog)(x) = 2x + 6

(gof)(x) = 2x + 3

Expert Answers

HALA718 eNotes educator| CERTIFIED EDUCATOR

f(x) = 2x

g(x) = x + 3

First let us find (fog)(x)

(fog)(x) = f(g(x)

            = f(x+3)

              = 2(x+3)

              = 2x + 6

==> (fog)(x) = 2x + 6

Now let us find (gof)(x):

(gof)(x) = g(f(x)

           = g(2x)

          = 2x + 3

==> (gof)(x) = 2x + 3

Step-by-step explanation:


julia-pushkina [17]3 years ago
8 0

Answer:

(gof)(x) = 6x

Step-by-step explanation:

We have given two function and we have to find their function.

f(x) = 3x and g(x) = 2x

(gof)(x) = ?

The formula to find the composition of two function:

(gof)(x) = g(f(x))

Putting the values of given functions ,we get

(gof)(x) = g(3x)

(gof)(x) = 2(3x)

(gof)(x) = 6x which is the answer.

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Given the functions f(x) = 2x – 1 Tand g(x) = 2x + 4, which operation results in the largest coefficient on the x term
sammy [17]
<h2>Answer:</h2>

Multiplication.

<h2>Step-by-step explanation:</h2>

Given functions:

f(x) = 2x - 1

g(x) = 2x + 4

Let's perform some basic arithmetic operations on them to see which will result in the largest coefficient of the x term

i. Addition.

f(x) + g(x)

(2x - 1) + (2x + 4)

2x - 1 + 2x + 4

4x + 3

Here, the x term has a coefficient of 4

ii. Subtraction

f(x) - g(x)

(2x - 1) - (2x + 4)

2x - 1 - 2x - 4

-5

Here, the x term does not exist or has a coefficient of 0

iii. Multiplication.

f(x) * g(x)

(2x - 1) * (2x + 4)

4x² + 8x - 2x - 4

4x² + 6x - 4

Here, the x term has a coefficient of 6

iv. Division

Division is not exactly applicable here since there are not terms cancelling out.

Therefore, the multiplication operation will result in the largest coefficient on the x term with the coefficient being 6

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Step-by-step explanation:

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WY = a = 4

ZY = b = 3

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