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Katarina [22]
3 years ago
13

What is the effect on the graph of the function f(x) = x when f(x) is replaced with −f(x) + 5?

Mathematics
1 answer:
prohojiy [21]3 years ago
6 0

Answer:

The function f(x) translated left by 5 units and then it is reflected across the x-axis.

Step-by-step explanation:

The original equation of the graph of the function is f(x) = x ........ (1)

If we replace f(x) by [- f(x) + 5] then the equation becomes - f(x) + 5 = x  

⇒ f(x) = - (x - 5) ..... (2)

So, comparing equations (1) and (2), we can conclude that the graph of the function f(x) translated left by 5 units and then it is reflected across the x-axis. (Answer)

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Answer:

Step-by-step explanation:

for the first one is

Domain:

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Range:  

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Horizontal Asymptote:

y=−7

y-intercept(s):  

(0,−6)

the second one is

y-intercept(s):

(0,8)

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3 years ago
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Answer:

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Step-by-step explanation:

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3 0
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Montano1993 [528]

\frac{ {x}^{2}  - 7x + 12}{ {x}^{2} - x - 12 }  \\  =  \frac{ {x}^{2} - 4x - 3x + 12 }{ {x}^{2} - 4x + 3x - 12 }  \\  =  \frac{x(x - 4) - 3(x - 4)}{x(x - 4) + 3(x - 4)}  \\  =  \frac{(x - 3)(x - 4)}{(x + 3)(x - 4)}  \\  =  \frac{x - 3}{x + 3}

x² - x - 12 ≠ 0

x² - 4x + 3x - 12 ≠ 0

x (x - 4) + 3 (x - 4) ≠ 0

(x + 3)(x - 4) ≠ 0

x ≠ -3 or x ≠ 4

(B)

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3 years ago
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Answer:

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