In this lesson, you worked with composite functions. Now make up any two functions f (x) and g (x), defined in terms of the variable x. For example, you might define f (x) = x - 15 and g (x) = 3x2. (Use different examples.) Then provide the compositions of the two functions f (g (x)) and g (f (x)). Which composite function has the greatest value for x = 10? Remember no right answer exists. Your answer completely depends on the functions you select.

Question

Mathematics

Natalya Hart

20 August, 10:07

In this lesson, you worked with composite functions. Now make up any two functions f (x) and g (x), defined in terms of the variable x. For example, you might define f (x) = x - 15 and g (x) = 3x2. (Use different examples.) Then provide the compositions of the two functions f (g (x)) and g (f (x)). Which composite function has the greatest value for x = 10? Remember no right answer exists. Your answer completely depends on the functions you select.

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Answers (1)

Know the Answer?

Chana Simon · Answer 1

There are g (f (x)) and f (g (x))

do them then evaluate

lets say

f (x) = 3x

g (x) = 9x^3-4

g (f (x)) = 9 (3x) ^3-4=243x^3-4

f (g (x)) = 3 (9x^3-4) = 27x^3-12

we can see that g (f (x)) with yield a higher value for x=10