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3 years ago

I need to know Question 2?

Mathematics

1 answer:

Nikolay [14]3 years ago

4 0

They ate 4 1/5 ounces of candy.

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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

3 years ago

Read 2 more answers

Fred's frog jumped 7 times as far as Al's frog. The two frogs jumped a total of 56 inches. How far did Fred's frog jump?

sergey [27]

8 inches

Divide 56 by 7 which equals 8 so Fred's frog jumped 8 inches.

5 0

3 years ago

Given functions f and g, find f-g.

Eva8 [605]

Answer:

$-5x-5$

Step-by-step explanation:

original functions:

$f(x)=3x-8\\g(x)=8x-3$

Subtract the polynomials:

$f(x)-g(x) = (3x-8) - (8x-3)$

Distribute the negative sign:

$3x-8-8x+3$

Combine like terms:

$(3x-8x)+(-8+3)$

Add like terms:

$-5x-5$

5 0

2 years ago

What is 1/3 to the power of 2

slamgirl [31]

Answer:

Brainliest!

Step-by-step explanation:

1/3 is going to be like

1^2

------

3^2

= 1/9

7 0

3 years ago

How many 1/2litres are there in 20 litres

qwelly [4]

Answer:

Step-by-step explanation:

20 ÷ 1/2 = 20 * 2 = 40 half liters in 20 liters

7 0

2 years ago

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