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3 years ago

Let f(x) = 4x2 + x + 1 and g(x) = x2 – 2. Find g(f(x)). Show each step of your work. Help please

Mathematics

2 answers:

velikii [3]3 years ago

8 0

Answer: The answer is $16x^4+8x^3+9x^2+2x-1.$

Step-by-step explanation: The given functions f(x) and g(x) are defined as follows:

$f(x)=4x^2+x+1,\\\\g(x)=x^2-2.$

We are given to evaluate g(f(x)).

The steps are as follws:

$g(f(x))\\\\=g(4x^2+x+1)\\\\=(4x^2+x+1)^2-2\\\\=16x^4+x^2+1+8x^3+2x+8x^2-2\\\\=16x^4+8x^3+9x^2+2x-1.$

Thus, the answer is $16x^4+8x^3+9x^2+2x-1.$

STatiana [176]3 years ago

6 0

For the answer to the question above,
g(f(x)) = (4x^2 + x + 1)^2 - 2 

g(f(x)) = (16x^4 + 4x^3 + 4x^2 + 4x^3 + x^2 + x + 4x^2 + x + 1) - 2 

g(f(x)) = 16x^2 + 8x^3 + 9x^2 + 2x + 1 - 2 

g(f(x)) = 16x^2 + 8x^3 + 9x^2 + 2x - 1
I hope my answer helped you. Feel free to ask more questions. Have a nice day!

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Mr Jones spent 156 to attend a college football game .twenty percent of this cost was for a parking pass.he spent the remainder

maks197457 [2]

Step One: Find 20% of 156
20% = .20
156 x .20 = 31.20

Step Two: Find the price of tickets

31.20 / 2 = 15.60

Final Answer: $15.60 per ticket

Hope this helps!

4 0

3 years ago

Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 4 units up, what are the coordinate

DochEvi [55]

Answer:

The coordinates of point A' will be: A'(-2, 0)

Step-by-step explanation:

We know that a translation is basically a transformation that occurs when an object is moved from one place to another place.

Translation does not change the size, orientation, or shape of the original object.

Translating a point P(x, y) 4 units up means we need to add to use P'(x, y+4), that is adding 4 units to the y-coordinate of the point P'(x, y).

Now we have to translate the triangle 4 units up. So, use the formula

P(x, y) → P'(x, y + 3)

Thus, the coordinates of point A' will be:

A(-2, -3) → A'(-2, -3+3) → A'(-2, 0)

Therefore, the coordinates of point A' will be: A'(-2, 0)

8 0

3 years ago

Multiply. 4x(y+x+z) please help

liubo4ka [24]

Answer:

4xy + 4x² + 4xz

Step-by-step explanation:

4x(y+x+z)

4xy + 4x² + 4xz

3 0

3 years ago

Read 2 more answers

Please help me!! Due today

klasskru [66]

Answer:

Step-by-step explanation:

y = (-1/4)x - 4 has a y-intercept of (0, -4). Place a dark dot at (0, -4).

Now we use the info from the slope, -1/4:

Starting with your pencil point on the dot (0, -4), move the pencil point 4 units to the right and then 1 unit down. You will now be at (4, -5). Place a dark dot there.

Then draw a straight, solid line through (0, -4) and (4, -5).

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3 years ago

Three friends collected aluminum cans from the neighborhood to recycle in total they receive 300 cans many collected 90 Jim coll

spin [16.1K]

Given

Total cans = 300

Manny= 90

Jim =100

Bob=110

Now their percentage

Manny percentage

$\begin{gathered} manny=\frac{90}{300}\times100\text{ \%} \\ \\ Manny\text{ percentage=}\frac{90}{3}\text{ \%} \\ \\ Manny\text{ percentage =30 \%} \end{gathered}$

Jim Percentage

$\begin{gathered} Jim=\frac{100}{300}\times100\text{ \%} \\ Jim\text{ percentage=}\frac{1}{3}\times100\text{ \%} \\ Jim\text{ percentage=33.333\%} \end{gathered}$

Bob percentage

$undefined$

6 0

1 year ago