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babunello [35]
3 years ago
15

If ( f ∘ g)(x) = x2 - 6x + 8 and g(x) = x - 3, what is f(x)?

Mathematics
1 answer:
DochEvi [55]3 years ago
5 0
\bf \begin{cases}
(f\circ g)(x)=x^2-6x+8\\\\
(f\circ g)(x)=f(~~g(x)~~)\\\\
g(x)=x-3\\
\end{cases}
\\\\\\
\textit{now, one probability is }x^2-1
\\\\\\
f(x)=x^2-1\implies f(~~g(x)~~)=(x-3)^2-1
\\\\\\
f(~~g(x)~~)=(x^2-6x+9)-1\implies f(~~g(x)~~)=x^2-6x+8
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4-(2x-3)=3 whats the answer
Oxana [17]

Hello there.

Explanation:

↓↓↓↓↓↓↓↓↓↓

4-(2x-3)=3

First, subtract by 4 from both sides.

4-(2x-3)-4=3-4

Second, simplify.

-(2x-3)=-1

Third, divide by -1 from both sides.

\frac{-(2x-3)}{-1}=\frac{-1}{-1}

Fourth, simplify.

2x-3=1

Next, add by 3 from both sides.

2x-3+3=1+3

Then simplify.

2x=4

Therefore, divide by 2 from both sides.

\frac{2x}{2}=\frac{4}{2}

Finally, simplify.

x=2

<u><em>Answer⇒⇒⇒⇒x=2</em></u>

Hope this helps!

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8 0
2 years ago
A certain coin is a circle with diameter 18 mm. What is the exact area of either face of the coin? The exact årea of either face
solniwko [45]

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7 0
3 years ago
The table represents a function
scoray [572]

Answer:

B

Step-by-step explanation:

x is the value of x which you input into the function and f(x) is the actual function and therefore the output. so when x=3, f(x)= -2. f(3)=-2

5 0
3 years ago
A prism is completely filled with 80 cubes that have edge length of 12cm What is the volume of the prism?
krek1111 [17]
<h3>Answer:  138,240 cubic cm</h3>

Explanation:

If x is the side length of a cube, then x^3 is the volume. Think of it like length*width*height, but length = width = height.

It's no coincidence that the cubing operation or cubed exponent ties directly to the concept of things like volumes in cubic cm.

In this case, x = 12 cm is the side length of each small cube. The volume of each small cube is x^3 = 12^3 = 12*12*12 = 1728 cubic cm.

Eighty such small cubes get us a total volume of 80*1728 = 138,240 cubic cm.

4 0
2 years ago
NEED HELP ASAP PLEASS AND THANK YOU ​
Ghella [55]

Answer:

Using points ( 2 , - 4) and ( 0 , 2)

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Since the lines are parallel their slope will be the same

So the slope of the line parallel to the one in the picture is - 3

That's option A.

Hope this helps.

7 0
3 years ago
Read 2 more answers
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