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Aleksandr [31]
3 years ago
13

The function f(x) has been transformed to give g(x). Which of the following functions represent g(x)

Mathematics
2 answers:
enot [183]3 years ago
3 0

Answer:

Option A is correct.

Step-by-step explanation:

See the two graphs given in the diagram attached.

The first graph shows the function f(x) = x²

Hence, it passes through the points (1,1), (-1,1), (2,4) and (-2,4) points.

Now, from the plotted second graph we see the points (2,2), and (-2,2) are on the curve.

Hence, the y-value corresponding to the same x-value reduces by a factor \frac{1}{2} in the second graph i.e. the graph of y = g(x) compared to the first graph.

So, we can conclude that the transformed graph has the equation g(x) = \frac{1}{2} x^{2}.

Hence, option A is correct. (Answer)

lana66690 [7]3 years ago
3 0

Answer: A

Step-by-step explanation:

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Composition of functions Find g (f(x)) for the following problems
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f(x)=-3x\qquad g(x)=5x-6\\\\g(f(x))=5(-3x)-6=\boxed{-15x-6}

2.

f(x)=x-6\qquad g(x)=x^2+6x-2\\\\g(f(x))=(x-6)^2+6(x-6)-2=x^2-12x+36+6x-36-2=\\\\=\boxed{x^2-6x-2}

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f(x)=4x+3\qquad g(x)=2x^2-x+1\\\\g(f(x))=2(4x+3)^2-(4x+3)+1=2(16x^2+24x+9)-4x-3+1=\\\\=32x^2+48x+18-4x-3+1=\boxed{32x^2+44x+16}

4.

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7 0
3 years ago
Graph this following function
Inessa05 [86]

Answer:

Please find attached the graph of the following function;

\left\{\begin{matrix}x - 1 & if & -2 \leq x < 0\\ 1 & if  & x = 0 \\ 3 & if & 0 < x \leq 2\end{matrix}\right.

Step-by-step explanation:

We note that the function is linear from x = 2 to just before x = 0

The linear relationship of the function f(x) with x changes just before x = 0

At x = 0, the value of f(x) is indicated as 1

From just after x = 0, the function is a straight horizontal line y = 3

The function also changes value immediately after x = 0 to the line y = 3

The areas where the function is defined are shown in continuous lines

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BlackZzzverrR [31]

Answer:

option B

Step-by-step explanation:

option B

gdyfudjfjghfhguftduc

4 0
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You have total coins for a total of $. . You only have quarters and dimes. Let represent the number of quarters and represent th
Sonja [21]

Answer:

Quarters = 41

Dimes = 18

Step-by-step explanation:

Given

Coins = 59

Worth = \$12.05

d = dimes

q = quarters

Required

The number of each coin

The total coins can be represented as:

d + q = 59

1\ quarter = \$0.25 \\ 1\ dime = \$0.10

So, the worth of the coin is:

0.25q + 0.10d = 12.05

The equations to solve are:

0.25q + 0.10d = 12.05

d + q = 59

Make d the subject in: d + q = 59

d =59 - q

Substitute d =59 - q in 0.25q + 0.10d = 12.05

0.25q + 0.10(59 - q) = 12.05

0.25q + 5.9 - 0.10q = 12.05

Collect like terms

0.25q  - 0.10q = 12.05 - 5.9

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Solve for q

q=\frac{6.15}{0.15}

q=41

Substitute q=41 in d =59 - q

d = 59 - 41

d = 18

So:

Quarters = 41

Dimes = 18

5 0
3 years ago
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