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zheka24 [161]
3 years ago
15

The graph shows f(x) and its transformation g(x)

Mathematics
2 answers:
Paladinen [302]3 years ago
6 0

Just took the quiz the answer is

g(x)=(1/2)×-9+5

KATRIN_1 [288]3 years ago
3 0
The curve for f(x) and g(x) have the same shape but only differs in their position relative to the y and x-axis. With respect to the y-axis, it shifted 5 units upward. With respect to the x-axis, it shifted 9 units to the right. Since the right hand side is equal to y, we add +5 to the right. Similarly, since the left hand side is equal to x, we add +9 to the left. If we transpose this to the right,it becomes -9. So the equation for g(x) is: <span>g(x)=(1/2)^x−9+5</span>

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What is the horizontal asymptote of the rational function f(x) = 3x / (2x - 1)?
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Answer:

Step-by-step explain

Find the horizontal asymptote for f(x)=(3x^2-1)/(2x-1) :

A rational function will have a horizontal asymptote of y=0 if the degree of the numerator is less than the degree of the denominator. It will have a horizontal asymptote of y=a_n/b_n if the degree of the numerator is the same as the degree of the denominator (where a_n,b_n are the leading coefficients of the numerator and denominator respectively when both are in standard form.)

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3 years ago
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