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iren [92.7K]
2 years ago
5

Evaluate g(n-7) if g(x) =

n}" alt="\frac{x^2-5}{3n}" align="absmiddle" class="latex-formula">

Mathematics
1 answer:
WINSTONCH [101]2 years ago
6 0
Hello. this is the answer for your question

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The function h(x)=4/3x-1 represents the composite h(x)=f(g(x)).if f(x)=2x-1,what is g(x)
Hunter-Best [27]

Answer:

g( x) = \frac{2}{3}x

Step-by-step explanation:

Given:

Composite Function:

h( x)=f( g( x))

Also,

h( x)=\frac{4}{3}x-1

To find:

g( x )  = ?

Solution:

First of all, let us learn about a composite function.

Composite function f( g( x)) means to write g( x) in place of x in the function f( x).

Let g( x) = y

So, f( g( x)) =  f( y ).

Therefore,

h( x) =f( g( x)) = f( y)

So, f( y) = 2y-1

We have to solve for y in terms of x to find the value of g(x):

\Rightarrow \frac{4}{3}x-1 = 2y-1\\\Rightarrow 2y=\frac{4}{3}x\\\Rightarrow y = \frac{2}{3}x

Hence, the answer is g(  x ) = \frac{2}{3}x.

Checking whether the answer is correct or not:

f( g( x)) = f( \frac{2}{3}x) = 2\times \frac{2}{3}x -1 = \frac{4}{3}x-1

which is h( x).

Hence, our answer g( x ) = \frac{2}{3}x is correct.

6 0
2 years ago
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Evaluate the expression 6 + 4x {3+ 7).
Mama L [17]

Answer:

40x + 6

Step-by-step explanation:

6 + 4x (3 + 7)

6 + 12x + 28x

40x + 6

6 0
2 years ago
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Two campers leave their campsite at point A to go on a hike. Camper one heads east for 3 miles, then heads north 3 miles to poin
soldier1979 [14.2K]
It's A
- Let<span> the </span>point<span> where </span>camper 1 heads north<span> be </span>D<span> and the </span>point<span> where </span>camper 2 heads 
7 0
3 years ago
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What is 7x193 in english
Aleksandr [31]
The answer is 1351 I know this because I did all the math
7 0
2 years ago
What is the slope of a line that passes through (–4,–13) and (19,11)?
Anna11 [10]
For points (x1,y1) and (x2,y2)
slope=(y1-y2)/(x1-x2)

(-4,-13)
(19,11)
x1=-4
y1=-13
x2=19
y2=11

slope=(-13-11)/(-4-19)=-24/-23=24/23
B is answer
5 0
2 years ago
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