/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 46 find(f鈭榞)(x) and (g鈭榝)(x)and... [FREE SOLUTION] | 91影视

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Chapter 6: Q. 46 (page 419)

find(f鈭�g)(x) and (g鈭�f)(x)and graph each of these functions.
role="math" localid="1646342890755" f(x)=2secxg(x)=12x

Short Answer

Expert verified

If f(x)=2secxandg(x)=12xthen (f鈭�g)(x)=2sec12xand its graph is

and (g鈭�f)(x)=sec(x)and its graph is

Step by step solution

01

Step 1. Given data

The given functions are

f(x)=2secxg(x)=12x

02

Step 2. Composition of function 

(f鈭�g)(x)composition of function is

role="math" localid="1646342980281" (f鈭�g)(x)=f(g(x))(f鈭�g)(x)=f12x(f鈭�g)(x)=2sec12x

03

Step 3. Graph of (f∘g)(x)

Plot the graph of(f鈭�g)(x)=2sec12x

04

Step 4. Composition of function 

(g鈭�f)(x)Composition of function is

(g鈭�f)(x)=g(f(x))(g鈭�f)(x)=g(2sec(x))(g鈭�f)(x)=122sec(x)(g鈭�f)(x)=sec(x)

05

Step 5. Graph of (g∘f)(x)

Plot the graph of(g鈭�f)(x)=sec(x)

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