PROBLEM 3 [COMPOSITE AND INVERSE FUNCTIONS]: Two functions p(x) and q (x) are inverses of each other if they satisfy the conditions (po q)(x) = x and (qop)(x) = x. Verify whether the following functions are inverses of each other using the two said conditions. p(x): = 3x-2 4x + 5' q(x): = 2+5x 3 - 4x

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.7: Inverses Of Linear-functions
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PROBLEM 3 [COMPOSITE AND INVERSE FUNCTIONS]: Two functions p(x) and q(x) are
inverses of each other if they satisfy the conditions (po q)(x) = x and (qop)(x) = x. Verify
whether the following functions are inverses of each other using the two said conditions.
p(x):
=
3x-2
4x + 5'
q(x):
=
2+5x
3 - 4x
Transcribed Image Text:PROBLEM 3 [COMPOSITE AND INVERSE FUNCTIONS]: Two functions p(x) and q(x) are inverses of each other if they satisfy the conditions (po q)(x) = x and (qop)(x) = x. Verify whether the following functions are inverses of each other using the two said conditions. p(x): = 3x-2 4x + 5' q(x): = 2+5x 3 - 4x
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