9514 1404 393
Answer:
(a) f(g(x)) = g(f(x)) = x; functions are inverses
(b) f(g(x)) = g(f(x)) = x +4; functions are not inverses
Step-by-step explanation:
<h3>(a)</h3>
f(g(x)) = f(1/(6x)) = 1/(6(1/(6x))) = 1/(6/(6x)) = 1/(1/x)
f(g(x)) = x
__
g(f(x)) is the same, because f(x) = g(x).
g(f(x)) = x
- f and g are inverses of each other
__
<h3>(b)</h3>
f(g(x)) = f(x +2) = (x +2) +2
f(g(x)) = x +4
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g(f(x)) is the same, because f(x) = g(x).
g(f(x)) = x+4
__
- f and g are not inverses of each other
Answer: 1/fg
Step-by-step explanation:
Hope this helps.
Answer:
A tangent to a circle is a straight line which touches the circle at only one point.
Step-by-step explanation:
This point is called the point of tangency. The tangent to a circle is perpendicular to the radius at the point of tangency.
Answer:
-16
Step-by-step explanation:
If you look at the sequence, you'll notice that each number is two less than the number preceding it
-8 is 2 less than -6
-10 is 2 less than -8
And so on.
-16 is two less than -14, so it is the next number in the sequence.