3 years ago

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

Mathematics

1 answer:

AleksandrR [38]3 years ago

7 0

Answer:

$(f\cdot g)(x)=\dfrac{7x-21}{x+4}$

Step-by-step explanation:

$(f\cdot g)(x)=f(x)\cdot g(x)=(x^2-7x+12)\cdot\dfrac{7}{x^2-16}\\\\=7\dfrac{(x-3)(x-4)}{(x+4)(x-4)}=\dfrac{7(x-3)}{x+4}\\\\=\dfrac{7x-21}{x+4}$

You might be interested in

Isabella has dance class every 3 days and soccer

Nataliya [291]

Answer:

Step-by-step explanation:

first you need to find the LCM (least common multiple) which is 15 so then every 15 days she will have both soccer, dance class and swimming class on the same day

4 0

4 years ago

What is equal to 13 centimeters.

atroni [7]

Answer:

5.11811 inches

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Evalute the experssion -280+12x=

Alina [70]

The answer is 23 1/3. First, you need to add 280 to both sides of the equations in order cancel out 280 and get 12x by itself. But remember whatever you do to one side of an equation, you must to do the other. So now you have 12x=280. Now divide both sides of the equation by 12 in order to get x completely isolated. 280 divided by twelve is 23 1/3.