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deff fn [24]
2 years ago
7

If f(x)=8x and g(x)=2x+1, what is (f×g)(x)

Mathematics
1 answer:
Sav [38]2 years ago
5 0

Answer:

(f * g)(x) has a final product of 16x² + 8x.

Step-by-step explanation:

When you see (f * g)(x), this means that we are going to be multiply f(x) and g(x) together.

<em>f(x)=8x</em>

<em>g(x)=2x+1</em>

Now, we multiply these terms together.

(8x)(2x + 1)

Use the foil method to multiply.

16x² + 8x

So, the product of these terms is 16x² + 8x.

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Identify the restrictions on the domain of f(x) = quantity x plus 5 over quantity x minus 2. x ≠ 5 x ≠ −5 x ≠ 2 x ≠ −2
horsena [70]

Answer: Third option.

Step-by-step explanation:

By definition, Rational Functions have the following form:

f(x)=\frac{P(x)}{Q(x)}

Where P(x) and Q(x) are polynomials.

The Restrictions of the Domain of Rational Functions are those Real numbers that make the denominator equal to zero, because the division by zero is not defined.

 In this case, you have the following Rational Function:

f(x)=\frac{x+5}{x-2}

The Restrictions of the Domain can be found applying this steps:

- Make the denominator equal to 0:

x-2=0

- Solve for "x":

x=2

Then, the Domain of this function includes all "x" not equal to 2.

Therefore,  the answer is:

x\neq 2

8 0
3 years ago
(8x − 5)(2x2 − 5x − 6)
Elodia [21]

Answer:

(-5x - 2)(8x - 5)

I hope this helps!

6 0
2 years ago
Given g(x)=5x+2 what is the value of g(3)
Paraphin [41]

Answer:

g(3) = 17

Step-by-step explanation:

Step 1: Define

g(x) = 5x + 2

g(3) = x = 3

Step 2: Substitute and Evaluate

g(3) = 5(3) + 2

g(3) = 15 + 2

g(3) = 17

7 0
3 years ago
Read 2 more answers
How do I complete this question on arc length?
tresset_1 [31]

Answer:

v ≈ 8.5 km/h

Step-by-step explanation:

Since the diameter of the wheel is 3 m the radius will be r = 1.5 m.

Use the radius of the water wheel to find it's circumference C:

C=2\pi r                                               [set r = 1.5 m]

⇒ C=2\pi (1.5)

⇒ C=3\pi m

One revolution of the water wheel corresponds to 3\pi meters so the angular velocity 15 rmp (revolutions per minute) corresponds to:

15(3\pi ) = 45\pi m/min

Using this result, the speed of the river in kilometers per hour will be:

v=\frac{45\pi m }{1 min} ×  \frac{1 km}{1000 m} × \frac{60 min}{1 h}

⇒ v=8.48230016469  km/h

⇒ v ≈ 8.5 km/h

5 0
2 years ago
Read 2 more answers
How do I simplify this?
WINSTONCH [101]

Answer:

sorry ... good luck tho.....

6 0
2 years ago
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