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3 years ago

Please help me. i don’t understand how to interpret the (f o g)(x) And (g o f)(x)

Mathematics

1 answer:

Brrunno [24]3 years ago

8 0

fog functions are basically saying f(g(x)).

So (f o g)(x) = f(g(x)).

This is also true for gof functions.

(g o f)(x) = g(f(x)).

All we do for these problems is plug in g(x) into the x value in the f(x) equation.

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Factor the polynomial function over the complex numbers. f(x)=x^4-x^3-2x−4 Enter your answer in the box. f(x) = The answer is: (

Vladimir79 [104]

Answer:

Factors: $(x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0$

Step-by-step explanation:

We are given a polynomial:

$f(x)=x^4-x^3-2x-4$

We have to factor the given polynomial into its complex factors.

The factorization can be done as follows:

$f(x)=x^4-x^3-2x-4 = 0\\x^4-x^3-2x-4 = 0\\x^4-4-x^3-2x=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^4-4)-(x^3+2x) = 0\\(x^2+2)(x^2-2)-x(x^2+2) = 0\\(x^2+2)(x^2-2-x) = 0\\(x^2+2)(x^2-x-2) = 0\\(x^2+2)(x^2-2x-+x-2) = 0\\(x^2+2)((x(x-2)+1(x-2))=0\\(x^2+2)(x+1)(x-2)=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^2-(\sqrt{-2})^2)(x+1)(x-2)=0\\(x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0$

8 0

2 years ago

Y = -4x + 8<br> Y=3/5x - 6/5

VladimirAG [237]

Answer:

x=2 and y=0

Step-by-step explanation:

Rewrite equations:

y=−4x+8;y=

−6

Step: Solvey=−4x+8for y:

y=−4x+8

Step: Substitute−4x+8foryiny=

−6

−4x+8=

−6

−4x+8+

−3

−6

−3

x(Add (-3)/5x to both sides)

−23

x+8=

−6

−23

x+8+−8=

−6

+−8(Add -8 to both sides)

−23

−46

−23

−46

−23

(Divide both sides by (-23)/5)

x=2

Step: Substitute2forxiny=−4x+8:

y=−4x+8

y=(−4)(2)+8

y=0(Simplify both sides of the equation)

5 0

2 years ago

One out of 10 students will not graduate college because of _____

sladkih [1.3K]

Answer:

1. Immaturity/Fear

2. Lack of Guidance/Support

3. Insufficient Finances

4. Academic Unpreparedness

5. Illness of family member or family issues

Step-by-step explanation:

Read more at:

https://careerprepacademy.com/blog/college/the-5-main-reasons-students-don%E2%80%99t-finish-college

4 0

3 years ago

Which expression represents the number

frozen [14]

Answer:

8 + i

Step-by-step explanation:

What you need to simplify this is the following "definitions" of i to different powers.

$i^1=i$

$i^2=-1$

$i^3=i^2*i=-1*i=-i$

$i^4=1$

Now we can sub these in for the various powers of i in our expression:

$6(1)+6(-i)-2(-1)+\sqrt{-1*49}$

Simplifying a bit:

$6-6i+2+\sqrt{i^2*49}$

Since we know that the square root of i-squared is i, and that the square root of 49 is 7, we can get rid of the radial sign as follows:

6 - 6i + 2 + 7i

And the final answer, in a + bi form, is

8 + i

7 0

3 years ago

What is the 5004300 in standard form

Svet_ta [14]

Answer:

In standard form,

5004300. Five Millon four thousand and three hundred.

6 0

3 years ago

Read 2 more answers