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Paladinen [302]
3 years ago
11

. True or False: The function y = (x2 – 4)/(x2 – 4) is continuous for all values of x

Mathematics
1 answer:
Mrac [35]3 years ago
6 0
False because y is not shown in the Equation
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F(x) = x2 – 3x – 2 is shifted 4 units left. The result is g(x). What is g(x)?
Ray Of Light [21]
\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\

\begin{array}{rllll} 
% left side templates
f(x)=&{{  A}}({{  B}}x+{{  C}})+{{  D}}
\\ \quad \\
y=&{{  A}}({{  B}}x+{{  C}})+{{  D}}
\\ \quad \\
f(x)=&{{  A}}\sqrt{{{  B}}x+{{  C}}}+{{  D}}
\\ \quad \\
f(x)=&{{  A}}(\mathbb{R})^{{{  B}}x+{{  C}}}+{{  D}}
\\ \quad \\
f(x)=&{{  A}} sin\left({{ B }}x+{{  C}}  \right)+{{  D}}
\end{array}

\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks horizontally by  } {{  A}}\cdot {{  B}}\\\\
\bullet \textit{ flips it upside-down if }{{  A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{  C}}}{{{  B}}}\\
\qquad  if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\\\
\qquad  if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}\\\\
\end{array}

\bf \begin{array}{llll}


\bullet \textit{ vertical shift by }{{  D}}\\
\qquad if\ {{  D}}\textit{ is negative, downwards}\\\\
\qquad if\ {{  D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{  B}}}
\end{array}

now... your expression is not in vertex form, that's ok... to do a horizontal shift to the left by 4 units, we can simply, add the C  and B component to the "x" variable, C=4, B =1, that way the horizontal shift of C/B or 4/1 is just +4, giving us a horizontal shift to the left

\bf f(x)=x^2-3x-2\impliedby \textit{let's change that for }f(1x+4)
\\\\\\
f(1x+4)=(1x+4)^2-3(1x+4)-2
\\\\\\
f(x+4)=x^2+8x+16-3x-12-2
\\\\\\
f(x+4)=x^2-5x+2\impliedby g(x)


8 0
3 years ago
Read 2 more answers
Q11 The price of a smartphone is $600 and a smart watch is $250. If you buy them together you get a discount of 20%. If you deci
dimulka [17.4K]

Answer:

above is the solution to the question

4 0
2 years ago
Read 2 more answers
20000000000000x 3065
Verizon [17]

Answer:

61300000000000000

Step-by-step explanation:

7 0
3 years ago
What is the missing numerator? blank over five plus eighteen over twenty equals thirty over twenty 8 5 3 2
Oliga [24]

Given:

\dfrac{?}{5}+\dfrac{18}{20}=\dfrac{30}{20}

To find:

The missing value.

Solution:

Let x be the missing value.

We have,

\dfrac{x}{5}+\dfrac{18}{20}=\dfrac{30}{20}

\dfrac{x}{5}+\dfrac{9}{10}=\dfrac{3}{2}

Subtract \dfrac{9}{10} from both sides.

\dfrac{x}{5}=\dfrac{3}{2}-\dfrac{9}{10}

\dfrac{x}{5}=\dfrac{15-9}{10}

\dfrac{x}{5}=\dfrac{6}{10}

\dfrac{x}{5}=\dfrac{3}{5}

Multiplying both sides by 5, we get

x=3

So, the missing value is 3.

Therefore, the correct option is C.

8 0
3 years ago
Can someone plssss helpp me with this!!! and show the work!
hichkok12 [17]

Answer:

1/2

Step-by-step explanation:

8(1/2)^4

= 8 * 1 / 2^4

= 8/(2*2*2*2)

= 8/16

= (8*1) / (8*2)

= 1/2

5 0
3 years ago
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