Discover a wealth of knowledge and get your questions answered on IDNLearn.com. Our platform provides detailed and accurate responses from experts, helping you navigate any topic with confidence.
Sagot :
Answer:
The true statements are -: A f(3)>0 , C g(-1)=0.8 and D g(-1)< f(-1)
Step-by-step explanation:
Given f(x)= 5- 0.2x and g(x)= 0.2(x+5)
(A) f(3) > 0
Putting this value in the given equation -
f(3) =5 -0.2(3)
f(3)=5 - 0.6
f(3) =4.4
Therefore , f(3) > 0 . This is a true statement .
(B) f(3) > 5
We got the value of f(3) from the above equation,
Therefore , f(3) = 4.4 , hence f(3) > 5 option is False.
(C) g(-1) = 0.8
Taking the second given equation ,
g(-1) = 0.2 ( -1+ 5)
g(-1) = 0.2 (-4)
Therefore, g(-1) = -0.8 . Hence , this statement is true.
(D) g(-1) < f(-1)
g(-1) = -0.8
f(-1) =5 - 0.2(-1)
f(-1) = 5 +0.2
f(-1) = 5.2
Therefore , g(-1) < f(-1) , Hence this option is true.
(E) f(0) =g(0)
f(0) = 5 + 0.2(0)
f(0) = 5
g(0) = 0.2(0+5)
g(0) = 0.2 +5
g(0) = 1
Therefore , f(0)[tex]\neq[/tex] g(0) , Hence , the option is false .
Hence , true statements about the functions are - A , C , D .
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Your questions find clarity at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.
