G(x)=-x + 4x h(x)=4x + 2 Find (g-h)(-4x) How do I answer this question

Mathematics

1 answer:

Digiron [165]2 years ago

4 0

Answer:

(g - h)(-4x) = 4x - 2

Step-by-step explanation:

This problem is one dealing with "composite functions." We are given the definitions of functions g(x) and h(x) and are asked to find the difference between g and h, namely, what is left if we subtact h from g. After having done that, we replace x in this composite function with the input (-4x).

The difference (g - h)(x) is as follows: g(x) - h(x) = -x + 4x - [4x + 2].

If we simplify the algebra, we get g(x) - h(x) = -x + 4x - [4x + 2] = -x - 2.

Next, substitute -4x for x in this last result. We get (g - h)(-4x) = 4x - 2.

Please note: You might want to check out your g(x) = -x + 4x. Normally we would write this as +3x.

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Please help!!! This is one question with a couple parts I am extremely confused and it would be amazing if you could show steps!

Dovator [93]

Answer:

a) |n -11| = 5

b) n ∈ {6, 16}

Step-by-step explanation:

The wording of the question is ridiculous. We assume it is intended to read, "The distance between two numbers is 5. One of the numbers is 11. What are the possibilities for the other?"

a) The distance between a number (n) and 11 can be written as ...

|n -11|

Since we want that distance to be 5, we can write the equation ...

|n -11| = 5

b) The equation resolves to two:

n -11 = 5
n -11 = -5

Adding 11 to both sides of both equations gives ...

n = 16
n = 6

The two solutions are n=6 and n=16.

_____

Comment on the question statement

Increasingly, we see curriculum materials written in Pidgin English or where the words have a meaning different from that understood by a native English speaker. It appears you are the lucky recipient of such materials, so must do occasional "interpretation". Here, it seems that "two time a number" is intended to mean "two numbers."

4 0

3 years ago

Answer choices: 16/3 40/9 4/9 4/3

son4ous [18]

Answer:

0.44444444 or 4/9

Step-by-step explanation:

Since we know the value of $x$ , we can rewrite the equation replacing the variables.