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3 years ago

Find (f•g)(x)=x^2-7x+12 and g(x)=3/x^2-16

1 answer:

8 0

Given f(x) = x^2 - 7x + 12 and g(x) = 3 / (x^2 - 16)

The product of the two functions, <span>(f•g)(x) is equal to:

(x^2 - 7x + 12) * 3 / (x^2 - 16)

To simplify, factor the two polynomials:

x^2 - 7x + 12 = (x - 4 ) (x - 3 )

x^2 - 16 = (x - 4) (x +4)

=> </span><span>(f•g)(x) = (x - 4)(x - 3) * 3 / [ (x - 4) (x +4) ] = 3 (x - 3) / (x + 4)

Answer: 3 (x - 3) / (x + 4)

=
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4 years ago

Read 2 more answers

Question 12

soldi70 [24.7K]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The tank for a car holds 17 gallons. The gasoline gauge shows the tank is 3/4 full. How much gas is still in the tank?

Give your answer as a whole number or as a mixed fraction reduced to lowest terms.

Answer:

$Gas \: \:left = 12 \frac{3}{4} \: \:gallons \\\\$

Step-by-step explanation:

The tank for a car holds 17 gallons.

The gasoline gauge of the car shows that the tank is 3/4 full.

We are asked to find the remaining gasoline in the tank.

$Gas \: \:left = \frac{3}{4} \times 17 \\\\Gas \: \:left = \frac{51}{4} \\\\Gas \: \:left = 12 \frac{3}{4} \: \:gallons \\\\$

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4 years ago

a copy machine can copy a report in 30 min. when a second copy machine is used at the same time, the copying can be done in 18 m

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Answer:

Step-by-step explanation:

A copy machine can copy a report in 30 mins. When a second copy machine is used at the same time, the copying can be sone in 18 min. How long would it take the second copu machine to do the copying alone?

i have:

x=30

x+y=18

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3 years ago