A bag contains 5 white marbles, 3 yellow marbles, and 2 black marbles. If you pull out a marble without replacing it, what is th
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Hi there!
• x = - 3
Let's first calculate f(x) and g(x) individually :-
• f(x) = 4x - 7
⇒ 4(- 3) - 7
⇒ - 12 - 7 = - 19
• g(x) = 2x + 4
⇒ 2(- 3) + 4
⇒ - 6 + 4 = - 2
According to th' question :-
f(x) + g(x)
⇒ - 19 + (- 2)
⇒ - 19 - 2
⇒ - 21
~ Hope it helps!
• x = - 3
Let's first calculate f(x) and g(x) individually :-
• f(x) = 4x - 7
⇒ 4(- 3) - 7
⇒ - 12 - 7 = - 19
• g(x) = 2x + 4
⇒ 2(- 3) + 4
⇒ - 6 + 4 = - 2
According to th' question :-
f(x) + g(x)
⇒ - 19 + (- 2)
⇒ - 19 - 2
⇒ - 21
~ Hope it helps!
ANSWER
The last graph is the correct answer
EXPLANATION
The function,
is a rational function.
This rational function has a vertical asymptote
at where the denominator is zero.
That is,
This means that, the vertical asymptote occurs at
The graph also has a horizontal asymptote at,
Thus, the horizontal asymptote occurs at
At x-intercept,
This implies that,
The graph cuts the x-axis at,
At y-intercept,
This implies that,
The graph cuts the y-axis at,
The graph that satisfy all the above conditions is the last one.
The last graph is the correct answer
EXPLANATION
The function,
This rational function has a vertical asymptote
at where the denominator is zero.
That is,
This means that, the vertical asymptote occurs at
The graph also has a horizontal asymptote at,
Thus, the horizontal asymptote occurs at
At x-intercept,
This implies that,
The graph cuts the x-axis at,
At y-intercept,
This implies that,
The graph cuts the y-axis at,
The graph that satisfy all the above conditions is the last one.