All categories

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

The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.

PilotLPTM [1.2K]

Answer:

Hence, the model that best represents the data is:

$y=26.9x-1.3$

Step-by-step explanation:

We are given a table that shows the estimated number of lines of code written by computer programmers per hour when x people are working.

We are asked to find which model best represents the data?

So for finding this we will put the value of x in each of the functions and check which hold true that which gives the value of y i.e. f(x) as is given in the table:

We are given 4 functions as:

$y = 47(1.191)^x$

$y=34\times (1.204)^x$

$y=26.9x-1.3$

$y=27x-4$

We make the table of these values at different values of x.

x A B C D

2 66.66 49.3 52.5 50

4 94.57 71.44 106.3 104

6 134.14 103.57 160.1 158

8 190.27 150.14 213.9 212

10 269.91 217.64 267.7 266

12 382.85 315.5 321.5 320.

Hence, the function that best represents the data is:

Option C.

y=26.9x-1.3

6 0

3 years ago

Read 2 more answers

I need help figuring out “What is 20% of 890”

tensa zangetsu [6.8K]

This is the answer. 20% of 890 =178

4 0

2 years ago

Read 2 more answers

How many 6 1/4 -pieces of fabric can be cut from a 75-inch roll

DiKsa [7]

12 6 1/4 pieces can be cut out.

7 0

3 years ago

Attendance at a museum more than tripled from Monday to Saturday. On Monday, 186 people went to the museum. How many people went

ira [324]

Answer:

The number of people who visited museum on Saturday is 558.

Step-by-step explanation:

Number of people went to museum on Monday = 186

Also, the number of people triples on Saturday.

So, Number of people visited on Saturday

= 3 x Number of people who visited museum on Monday

= 3 x 186 = 558

Hence, the number of people who visited on Saturday is 558.

7 0

3 years ago

Divide x ^ 4 + x - 1 by x - 1

vladimir2022 [97]

The required, divide is given by $=x^3+x^2+x+2+\frac{1}{x-1}$

<h3>What is fraction of polynomial?</h3>

Fraction of polynomial is, in the numerator and in the denominator of a fraction there is polynomial function

$=x^3+\frac{x^3+x-1}{x-1}\\$

$=x^3+x^2+\frac{x^2+x-1}{x-1}\\$

$=x^3+x^2+x+\frac{2x-1}{x-1}\\$

$=x^3+x^2+x+2+\frac{1}{x-1}$

Thus the required, divide is $=x^3+x^2+x+2+\frac{1}{x-1}$ .

Learn more about Fraction of polynomial here:
brainly.com/question/9686817

#SPJ1

6 0

1 year ago

Read 2 more answers