Suppose f:double-struck Rn → double-struck Rm and g:double-struck Rp → double-struck Rq. (a) What must be true about the numbers
n, m, p, and q for f ∘ g to make sense? n = q m = p n = p m = q n = m (b) What must be true about the numbers n, m, p, and q for g ∘ f to make sense? n = q m = p n = p m = q n = m (c) When does f ∘ f make sense?
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Answer:
The answer is below
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b
where m is the slope of the line and b is the y intercept (value of y when x = 0).
Given the equation of two lines as , the two lines are parallel to each other if
. Also the lines are perpendicular if
Given line BC:
3x + 2y = 8
2y = -3x + 8
y = -3x/2 + 4
Hence the slope of the line BC = -3/2
For line AD:
-3x - 2y = 6
-2y =3x + 6
y = -3x/2 - 3
Hence the slope of line AD is -3/2
Since both line BC and AD have equal slope (-3/2), hence both lines are parallel to each other