A. Find the inverse of function of the following.1.) f( x ) = x + 5 2.) f(x) = 2...

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haley272020 @haley272020

October 2022 1 3 Report

A. Find the inverse of function of the following.
1.) f( x ) = x + 5
2.) f(x) = 2x + 3
3.) f( x ) = x2 + 4
4.) f(x) = 2x2 + 1

Answers & Comments

gadorangel09

Answer:

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$1.)f(x) = x + 5 \\ y = x + 5 \\ x = y + 5 \\ x - 5 = y \\ f^{ - 1} (x) = x - 5$

$2.)f(x) = 2x + 3 \\ y = 2x + 3 \\ x = 2y + 3 \\ x - 3 = 2y \\ \frac{x - 3}{2} = y \\ {f}^{ - 1} (x) = \frac{ x- 3}{2}$

$3.)f(x) = {x}^{2} + 4 \\ y = {x}^{2} + 4 \\ x = {y}^{2} + 4 \\ x - 4 = {y}^{2} \\ \sqrt{x - 4} = y \\ {f}^{ - 1} (x) = \sqrt{x - 4}$

$4.)f(x) = 2 {x}^{2} + 1 \\ y = 2 {x}^{2} + 1 \\ x = 2 {y}^{2} + 1 \\ x - 1 = 2 {y}^{2} \\ \frac{x - 1}{2} = {y}^{2} \\ \sqrt{ \frac{x - 1}{2} } = y \\ f ^{ - 1} (x) = \sqrt{ \frac{x - 1}{2} }$

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haley272020 anong app yan?

haley272020 btw thank you❤️

gadorangel09 dito sa brainly

haley272020 ano po sagot sa 5-10

gadorangel09 done, pabrainliest naman

tristantayabas tama bah

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