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saucyboyFredo
27.06.2019 •
Mathematics
Given: g(x) = √ x− 3 and ℎ(x) = 2x − 7. a) what are the restrictions on the domain of g° ℎ? show your work for full credit. xx ≥ b) what is g(ℎ( simplify your answer in lowest terms. show your work for full credit
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Ответ:
Restrictions on the domain: x>=5
g(h(13)) = ±4
Step-by-step explanation:
g° ℎ is the composite function
We stick the function h in for x in the function g
g(x) = sqrt(x-3)
h(x) = 2x-7)
g(h(x)) = sqrt( 2x-7 -3)
g(h(x)) = sqrt( 2x-10)
The restrictions on the domain , or the allowed values of x
sqrt (2x-10) >= 0
Square each side
2x-10 >= 0
2x>= 10
Divide by 2
x>=5
Let x=13
g(h(13)) = sqrt( 2*13-10)
sqrt(26-10)
sqrt(16)
±4
Ответ:
D
Step-by-step explanation: