All categories

3 years ago

Let f(x) = x2 - 1 and g(x) = 2x - 3. Find the new function and write it in simplest form

Mathematics

1 answer:

yawa3891 [41]3 years ago

3 0

Answer:

Option C is the correct answer

${x}^{2} + 2x - 4$

Step-by-step explanation:

$f(x) = {x}^{2} - 1 \\ g(x) = 2x - 3 \\ (f + g)(x) = f(x) + g(x) \\ (f + g)(x) = {x}^{2} - 1 + 2x - 3 \\ \purple{ \boxed{ \bold{ (f + g)(x) = {x}^{2} + 2x - 4}}}$

You might be interested in

At the time she had $237 ,the cost of a lesson rose to &19.how many lesson can she pay for with remaining &237

ad-work [718]

12.5, just divide 237 by 19

8 0

3 years ago

Find the area of the shape shown below.

Tamiku [17]

Answer:

28 square units.

Step-by-step explanation:

Let us divide the shape into two rectangles and a right triangle. The resulting composite figure is attached.

As we see in the figure the area $A_T$ of the triangle is

$A_T= \frac{1}{2} (2)(4)=4\: units^2$ .

The area $A_{r1}$ of the bigger rectangle is (it's actually a square )

$A_{r1}=4*4=16\:units^2$ ,

and the area of the smaller rectangle is

$4*2 =8\:units^2$ .

Therefore, the total area $A_{tot}$ of the shape is

$A_{tot}= A_T+A_{r1}+A_{r2}$

$A_{tot}= 4\:units^2+16\:units^2+8\:units^2$

$\boxed{A_{tot}=28 \:units^2}$

5 0

3 years ago

Read 2 more answers

Please what’s the answer?… I really need help

AfilCa [17]

$\sqrt[3]{x + 1} = 2$

Let us cube both sides.

$= > (\sqrt[3]{x + 1} ) ^{3} = {2}^{3}$

Now, it will be only x + 1.

$= > x + 1 = 8$

Transpose 1 to the Right Hand Side.

$= > x = 8 - 1$

Now, subtract.

$= > x = 7$

<u>Answer</u><u>:</u>

x = 7

Hope you could understand.

If you have any query, feel free to ask.

3 0

2 years ago

Jenna had 45 yards of yarn. She used 1/5 of it for a kitting project. How much yarn did she use

erastovalidia [21]

You want to divide 45 by 5.

45/5= 9

She used 9 yards of yarn for her knitting project.

I hope this helps!
~kaikers

5 0

3 years ago

Read 2 more answers

What is the exact value? (Picture provided)

creativ13 [48]

Answer:

b. (√15)/4

Step-by-step explanation:

Since Sin Ф = (opposite side)/Hypotenuse, we have 2 sides of a right triangle.

Use Pythagorean theorem to solve for the missing leg (the adjacent side)

1² + b² = 4²

1 + b² = 16

b² = 15

b = √15

So the adjacent side is √15, so Cos Ф = (√15)/4

6 0

3 years ago

Read 2 more answers