3 years ago

What is the following product?

Mathematics

1 answer:

Musya8 [376]3 years ago

8 0

Answer:

= 7 .

From the working above

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Find (f • g) when f(x) = x^2 + 5x + 6 and g(x) = 1/x+3

Nikitich [7]

Answer:

option D

Step-by-step explanation:

$f(x) = x^2 + 5x + 6$

$g(x)= \frac{1}{x+3}$

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

Plug in g(x) in f(x)

We plug in 1/x+3 in the place of x in f(x)

$f(g(x))= f(\frac{1}{x+3})= (\frac{1}{x+3})^2 + 5(\frac{1}{x+3}) + 6$

To simplify it we take LCD

LCD is (x+3)(x+3)

$\frac{1}{(x+3)(x+3)}+5\frac{1*(x+3)}{(x+3)(x+3)}+\frac{6(x+3)(x+3)}{(x+3)(x+3)}$

$\frac{1}{x^2+6x+9}+\frac{(5x+15)}{x^2+6x+9}+\frac{6x^2+36x+54}{x^2+6x+9}$

All the denominators are same so we combine the numerators

$\frac{1+5x+15+6x^2+36x+54}{x^2+6x+9}$

$\frac{6x^2+41x+70}{x^2+6x+9}$

Option D is correct

8 0

2 years ago

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Put these integers in order from least to greatest. 34, 0, – 17, - 56 , 5

tigry1 [53]

Answer: -56 -17 0 5 34

Step-by-step explanation:

The more left you go on a number line the smaller it is

7 0

2 years ago

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Factor completely. wait for photo

rjkz [21]

Apparently there's no solution?? i tried solving it, and i also used a special calculator, but no solution came up

4 0

2 years ago

What is the product of these?

Phoenix [80]

8 × 4 = 32

√3 ×√15 = √45

√75 = √9 × √5

√9 = 3

√75 = 3√5

32 × 3√5 = 96√5

3 0

2 years ago

2. A bag contains 3 red, 4 white, and 5 blue marbles. Jason begins removing marbles from the bag at

galben [10]

Answer:

the total number of marbles are 12 and there are 3 colours so you divide 12 by 3

6 0

2 years ago

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