Answer:
g/f = {(-1, 2)}
domain of g/f = {-1}
Step-by-step explanation:
Given,
f = {(-1, 4),(1, 9),(4, 0)},
g = {(-1, -8),(2, -7),(4, 8),(5, -9)}
So, Domain of f = {-1, 1, 4},
Domain of g = {-1, 2, 4, 5}
Since,
Thus, domain of g/f = Domain of f ∩ Domain of g = {-1, 4}
If x = -1,
If x = 4,
Hence, the domain of g/f = {-1}
And, g/f = {(-1, 2)}
Solution:
The standard equation of a hyperbola is expressed as
Given that the hyperbola has its foci at (0,-15) and (0, 15), this implies that the hyperbola is parallel to the y-axis.
Thus, the equation will be expressed in the form:
The asymptote of n hyperbola is expressed as
Given that the asymptotes are
This implies that
To evaluate the value of h and k,