The functions f and g are defined as follows.
1 answer:
Answer:
x != -2, x^2 + 1, 1/5
Step-by-step explanation:
(a) It can be understood that nothing can divide 0
thus denominator cannot be 0 meaning x cannot be -2.
(-2 + 2) = 0
(b) y = sqrt(x-1)
inverse meaning we make x the subject
square both sides
y^2 = x - 1
y^2 + 1 = x
inverse = x^2 + 1
(c) composite function:
pass g(10) as domain of f
g(10) = 3, f(3) = 1/(5) = 1/5
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