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3 years ago

5

Given f(x) = 4 - x and g(x) = -4x, find (fog)(x).

1 answer:

MAVERICK [17]3 years ago

6 0

F(-4x)=4x+4x

set up the composite function and simplify!

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Write the following quotient in the form a+bi.<br> -7i/2-7i

Helga [31]

Answer:

$\large\boxed{\dfrac{49}{53}-\dfrac{14}{53}i}$

Step-by-step explanation:

$\text{Use}\\\\i=\sqrt{-1}\to i^2=-1\\\\(a-b)(a+b)=a^2-b^2\to(a-bi)(a+bi)=a^2+b^2\\\\\text{distributive property}\ a(b+c)=ab+ac\\---------------------\\\\\dfrac{-7i}{2-7i}=\dfrac{-7i}{2-7i}\cdot\dfrac{2+7i}{2+7i}=\dfrac{-7i(2+7i)}{2^2+7^2}=\dfrac{(-7i)(2)+(-7i)(7i)}{4+49}\\\\=\dfrac{-14i-49i^2}{53}=\dfrac{-14i-49(-1)}{53}=\dfrac{-14i+49}{53}\\\\=\dfrac{49}{53}-\dfrac{14}{53}i$

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3 years ago

X=6<br> is a solution to the inequality x−5≤ 10<br><br> True or False?

vekshin1

Answer:

$\boxed{\sf{FALSE}}$

$\boxed{\sf{x\leq 15}}$

Step-by-step explanation:

Isolate the term of x from one side of the equation.

<h3>x-5≤10</h3>

<u>First, add by 5 from both sides.</u>

$\sf{x-5+5\leq10+5}$

<u>Solve.</u>

<u>Add the numbers from left to right.</u>

$\sf{10+5=15}$

$\Longrightarrow: \boxed{\sf{x\leq 15}}$

<u>Therefore, the solution is x≤15, which is our answer.</u>

I hope this helps you! Let me know if my answer is wrong or not.

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Answer:

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Step-by-step explanation:

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