Question

let f(x)=√x+√2x-1-√x-2x-1,X>1. find the value f(9)+f(11)+f(15)²​

Answer 1

Answer:

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Composition of Functions:

Composing Functions with Functions (page 4 of 6)

Sections: Composing functions that are sets of point, Composing functions at points, Composing functions with other functions, Word problems using composition, Inverse functions and composition

Composite Functions on MathHelp.com

Composite Functions

Given f(x) = 2x + 3 and g(x) = –x2 + 5, find ( f o f )(x).

( f o f )(x) = f ( f (x))

= f (2x + 3)

= 2( ) + 3 ... setting up to insert the input

= 2(2x + 3) + 3

= 4x + 6 + 3

= 4x + 9

Given f(x) = 2x + 3 and g(x) = –x2 + 5, find (g o g)(x).

(g o g)(x) = g(g(x))

= –( )2 + 5 ... setting up to insert the input

= –(–x2 + 5)2 + 5

= –(x4 – 10x2 + 25) + 5

= –x4 + 10x2 – 25 + 5

= –x4 + 10x2 – 20