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JulijaS [17]
2 years ago
12

If f(x)=2x and g(x) = x-4 what is the value of g(f(3)) ?

Mathematics
1 answer:
Dahasolnce [82]2 years ago
7 0

Answer:

The value of g(f(3)) = 2

Step-by-step explanation:

We are given:

f(x)=2x

g(x) = x-4

And we need to find g(f(3))

First we need to find g(f(x))

by putting the value of f(x) into g(x) i.e put x = 2x

g(x)=x-4\\g(f(x))=2x-4

Now, we need to find g(f(3)) by putting x = 3 in g(f(x))

g(f(x))=2x-4\\Put\: x=3\\g(f(3))=2(3)-4\\g(f(3))=6-4\\g(f(3))=2

So, the value of g(f(3)) = 2

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Step-by-step explanation:

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2 years ago
Three numbers are in the ratio 3:9:10. If 10 is added to the last number, then the three numbers form an arithmetic progression.
MrRa [10]

Answer:

<em> The numbers are 6, 18, and 30 </em>

Step-by-step explanation:

If the three numbers are in the ratio of 3:9:10,

let the numbers be 3x, 9x and 10x.

<em>If 10 is added to the last number to form an arithmetic progression</em>

<em>Then, 3x 9x (10x+10) are the progression</em>

The common difference of an arithmetic progression (d) = T₂ - T₁ = T₃ - T₂

T₂-T₁ = T₃ - T₂ .............. Equation 1

Where T₁ = first term of the progression, T₂ = Second term of the progression, T₃ = third term of the progression

<em>Given: T₁ = 3x, T₂ = 9x, T₃ = 10x +10</em>

<em>Substituting these values into equation 1</em>

<em>9x-3x = (10x+10)-9x</em>

<em>Solving the equation above,</em>

<em>3x = 10+x</em>

<em>3x-x = 10</em>

<em>2x = 10</em>

<em>x = 10/2</em>

<em>x = 2.</em>

<em>Therefore the numbers are 6, 18, and 30 </em>

<em />

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3 years ago
Work with a partner. A survey asked 200 people to name their favorite
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i dont get it either

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2 years ago
F (x) = 3x^2+ 5 x -14
elena-14-01-66 [18.8K]

Here is the answer

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2 years ago
I need help with this question. can someone please help me
Ahat [919]
-2x + y =3
use 5 number and put it in above equation to find y, I will use -2,-1,0,1,2
x      y
-2   -1
-1    1
 0    3
 1    5
 2    7

Then draw the graph, find another point in the graph which intersect the slope, 
lets say i found (-3,-3)which is on the slope
to prove it, i put (-3,-3) in the equation -2x + y = 3
and i got 
3 = 3
Thus it is correct.

7 0
3 years ago
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