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deff fn [24]
3 years ago
7

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

Mathematics
1 answer:
Sav [38]3 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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Jason wants to cut a rope that is 60 feet long into several equal pieces with nothing left over. How many pieces will he have if
ale4655 [162]

Answer:

2 pieces, 30ft each

Step-by-step explanation:

rope : 60ft long

we are trying to figure out how many equal pieces we can cut the rope into with the length of each piece to be the greatest possible integer:

if jason wants the length of rope to be the longest than the answer is 2, if he divides the length of 60 by 2, each piece will be 30 feet long. If he divides the rope by any number larger, each piece will be shorter than 30 feet, and he wants the piece to be the largest possible length.

8 0
4 years ago
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Which of the followint iw a linear equation
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Answer:

11.C

12.B

Step by step explanation:

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4 years ago
This scale balanced when 1111plus+tequals=2424. suppose the left side becomes 1919plus+t.how can you change the right side so th
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8 has been added to 11 to make it 19. 8 must be added to 24 to make it 32.

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7 0
3 years ago
Please help!!
enot [183]

Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other

Given the functions expressed as:

h(x) =\sqrt{2x+2}\\g(x)\frac{x^2-2}{2}  \\

In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))

Get the composite function h(g(x))

h(g(x))=h(\frac{x^2-2}{2} )\\h(g(x))=\sqrt{2(\frac{x^2-2}{2} )+2}\\h(g(x))=\sqrt{x^2-2+2} \\h(g(x))=\sqrt{x^2}\\h(g(x))=x

Get the composite function g(h(x))

g(h(x))=\frac{(\sqrt{2x+2} )^2-2}{2} \\g(h(x))=\frac{2x+2-2}{2}\\g(h(x))=\frac{2x}{2}\\g(h(x))=x

Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other

Learn more on inverse functions here; brainly.com/question/14391067

7 0
3 years ago
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VI. PRACTICE TASKS
dimulka [17.4K]

Step-by-step explanation:

1 _ 1.215

2_ 4.0608

3_1.5225

4_0.2875

5_3.6064

8 0
2 years ago
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