2 years ago

Given the functions f(x)=6x+11 and g(x)=x+6, which of the following functions represents f[g(x)] correctly?

2 answers:

3 0

You are just going to do a composition of functions in this case. First, you take the value of g(x), and then substitute that value for the "x" in f(x). You may simplify the functions after that.

jeka57 [31]2 years ago

3 0

6x+47 represent the function fg(x).

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Factor the expression: x^6-729. Show your work Please.

Brut [27]

Answer:

(x + 3)(x - 3)(x^2 -3x + 9)(x^2 + 3x + 9)

Step-by-step explanation:

Use of formulas:

a^2 - b^2 = (a + b)(a -b)
a^3 + b^3 = (a + b)(a^2 - ab + b^2)
a^3 - b^3 = (a - b)(a^2 + ab + b^2)

Given the expression:

x^6-729

Factoring 729

729 = 3*3*3*3*3*3 = 3^6

Factoring the expression

x^6 - 3^6 =
(x^3)^2 - (3^3)^2 =
(x^3 + 3^3)(x^3 - 3^3) =
(x + 3)(x^2 -3x + 9)(x - 3)(x^2 + 3x + 9) =
(x + 3)(x - 3)(x^2 -3x + 9)(x^2 + 3x + 9)

7 0

3 years ago

Is 2 a factor of 72?

Vinil7 [7]

Yes 72 is a factor of 2

7 0

2 years ago

How do i substitute y=x to 3x+2y=20

never [62]

Where ever u see a y change it to an x
3x+2(x)=20
5x=20
x=4

6 0

3 years ago

Read 2 more answers

Minerva buys used bicycles, repairs them, and sells them for a profit. She bought a bicycle for $10, repaired it, and sold it fo

STatiana [176]

it is an increase of 400%

3 0

2 years ago

Solve for x. Enter the solutions from least to greatest. x2 – X – 12 = 0

Artemon [7]

Answer:

$x=-3,4$

Step-by-step explanation:

Factorise in order to reveal factors.

$x^2-x-12=0\\(x-4)(x+3)=0$

8 0

2 years ago