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3 years ago

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If f(x)= 2(3x²-2x+2). Find:A) f(x+1)B) f(3)C) f(y-2)

1 answer:

ExtremeBDS [4]3 years ago

8 0

A) f(x+1) = 6x^2 + 8x + 6
1) substitute the value of x as (x+1)
2) 2(3(x+1)^2 -2(x+1) +2)
3) 6(x^2 + 2x + 1)
4) 6x^2 + 8x + 6

B) f(3) = 46
1) simplify the expression first
2) 6x^2 -4x + 4
3) Now just substitute 3: 6(3)^2 -4(3) + 4
4) 6•9 - 12 + 4 = 46

I hope this helps :)

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If h(x)=(fog)(x) and h(x)=³√x+3, find g(x) if f(x) =³√x+2

ipn [44]

Answer:

$g(x)=x+1$

The problem:

Find $g(x)$ if $h(x)=(f \circ g)(x)$ ,

$h(x)=\sqrt[3]{x+3}$ , and

$f(x)=\sqrt[3]{x+2}$ .

Step-by-step explanation:

$h(x)=(f \circ g)(x)$

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

Replace $x$ in $f(x)=\sqrt[3]{x+2}$ with $g(x)$ since we are asked to find $f(g(x))$ :

$\sqrt[3]{x+3}=\sqrt[3]{g(x)+2}$

$\sqrt[3]{x+1+2}=\sqrt[3]{g(x)+2}$

This implies that $x+1=g(x)$

Let's check:

$(f \circ g)(x)$

$f(g(x))$

$f(x+1)$

$\sqrt[3]{(x+1)+2}$

$\sqrt[3]{x+1+2}$

$\sqrt[3]{x+3}$ which is the required result for $h(x)$ .

6 0

3 years ago

Solve this equation 3x + 5 = 7x – 7

Mama L [17]

Add 7 to both sides
3x + 12 = 7x
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3 years ago

Read 2 more answers

30 points and brainly if answered correctly

BartSMP [9]

Answer:

21

Step-by-step explanation:

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3 years ago

The length of a rectangle is three times it’s width. The perimeter is 100. What are the dimensions

JulijaS [17]

The length of rectangle is 37.5 and width is 12.5

Step-by-step explanation:

Given,

Width of rectangle = w

Length of rectangle = 3w

Perimeter of rectangle = 100

Perimeter = 2(Length+Width)

$100=2(3w+w)\\100=2(4w)\\100=8w\\8w=100$

Dividing both sides by 8

$\frac{8w}{8}=\frac{100}{8}\\w=12.5$

Width of rectangle = 12.5

Length of rectangle = 3(12.5) = 37.5

The length of rectangle is 37.5 and width is 12.5

Keywords: Rectangle, perimeter

Learn more about perimeters at:

#LearnwithBrainly

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3 years ago

The shape of the top surface of a table is a trapezium. Find its area

qaws [65]

Answer:

0.88m²

Step-by-step explanation:

Area of a trapezium = 1/2(a+b)h

a and b are the parallel sides

h is the height

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b = 1.2m

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Substitute

Area of the trapezium = 1/2(1+1.2)(0.8)

Area of the trapezium = 1/2(2.2)(0.8)

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Area of the trapezium = 0.88m²

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2 years ago