All categories

3 years ago

If F(x) = x^2+2x-3 and G(x)= x^2-9, find (f/g)(4)and (f+g)(4)

Mathematics

1 answer:

Sliva [168]3 years ago

3 0

Answer:

f(x) = x^2 + 2x - 3 and g(x) = x^2 - 9

(f/g)(x) = (x^2+ 2x -3) / (x^2 - 9)

(f/g)(x) = (x +3 )(x - 1) / (x + 3)(x - 3)

(f/g)(x) = (x - 1) / (x - 3)

(f/g)(4) = (4 - 1)/(4 -3)

(f/g)(4) =3/1

(f/g)(4) = 3

(f+g)(x) = x^2+ 2x - 3 + x^2 - 9

(f+g)(x) = 2x^2 + 2x - 12

(f+g)(x) = 2(4)^2 + 2(4) - 12

(f+g)(4) = 32 + 8 - 12

(f+g)(4) = 28

Step-by-step explanation:

You might be interested in

Inmultirea fractiilor

alexandr1967 [171]

Answer:

First, draw a rectangle and draw 3 lines going vertically. Then, draw the diagonal lines (shown in step 3) write the 4 digit number you are multiplying with the 1 digit number on top of the table (step 2) and multiply, when you are done multiplying, add the numbers vertically. Finally, you have your answer

Step-by-step explanation:

3 0

3 years ago

Marie found that 4 bags of leaves weigh 6 pounds and 8 bags of leaves weigh 12 pounds. She made a graph to help her find the wei

saw5 [17]

The ordered pair (6,9) follows the pattern in the graph.
For every 2 on the x coordinate, there is 3 for the y coordinate. (2,3) (4,6) (6,9) (8,12) and so on.

4 0

3 years ago

If a job pays $45,000 per year, you live in a state where our total tax burden is 22% and you recieve a weekly paycheck, what is

Vsevolod [243]

The answer is like $35,800 or something like that. Very close approximate answer

4 0

4 years ago

Why is it important to know the categories of numbers?

leonid [27]

Its important to know the categories of number because its in math

6 0

3 years ago

Select the correct answer.

Anna71 [15]

1. To the question whether it is a good idea to design a drink can from a solid nonmetal, the answer is <u>No, because nonmetals lack luster</u>.

<h3>The Luster in Nonmetal</h3>

Non-metals do not have luster because they cannot reflect light from their surface with their dull appearances. Diamond and iodine are two exceptions to lustrous non-metals.

2. The reason it is not a good idea designing a drink can from a solid nonmetal is <u>No, because nonmetals are brittle.</u> Generally, solid nonmetals are known to be <u>dull and brittle</u>. They can easily break into pieces.

Thus, non-metals are <u>not ductile or malleable</u>.

Learn more about solid nonmetal here: brainly.com/question/825947

3 0

2 years ago