Ask Singapore Homework?
Upload a photo of a Singapore homework and someone will email you the solution for free.
Question
junior college 1 | H2 Maths
One Answer Below
Anyone can contribute an answer, even non-tutors.
Hi how do you do part v
Date Posted: 5 years ago
Views: 597
gf(x) = g [f(x)]
Values that 'come out' of the function f will 'enter' the function g as inputs.
f(x) = x2 -2x + 2 = (x - 1)^2 + 1
Input of g
= Output of f (the input of f is (1, 3])
= (1, 5]
(curved brackets denote excluding, square brackets denote including)
so output of g
= (1/2 + k/2, 5/6 + k/6]
Values that 'come out' of the function f will 'enter' the function g as inputs.
f(x) = x2 -2x + 2 = (x - 1)^2 + 1
Input of g
= Output of f (the input of f is (1, 3])
= (1, 5]
(curved brackets denote excluding, square brackets denote including)
so output of g
= (1/2 + k/2, 5/6 + k/6]
See 1 Answer
done
{{ upvoteCount }} Upvotes
clear
{{ downvoteCount * -1 }} Downvotes
Oh hey, it's the continuation of the question from last week.
Your lecture notes on composite functions should have a page with 3 circles. Those 3 circles are key to understanding composite functions.
To summarise, gf means putting f inside g. We have discovered that range of f was (1,5] last week. So even if g could take values from any value that is 0 or more, there would never be a time where g will take in an input like 7 or 12, since once I go through the function f I will only get values between 1 and 5.
So to find the range of gf, I will need to know what are the set of values g will take due to f and adjust the range accordingly.
Your lecture notes on composite functions should have a page with 3 circles. Those 3 circles are key to understanding composite functions.
To summarise, gf means putting f inside g. We have discovered that range of f was (1,5] last week. So even if g could take values from any value that is 0 or more, there would never be a time where g will take in an input like 7 or 12, since once I go through the function f I will only get values between 1 and 5.
So to find the range of gf, I will need to know what are the set of values g will take due to f and adjust the range accordingly.
Date Posted:
5 years ago
360 Tutoring Program