**Unformatted text preview: **$) functions F and ` are defined by formules. Find GOF
end FOG and determine whether Got equals FOG
_f(x ) = x` and G (x ) = x'S for all real numbers x
= GOF ( x ) = G ( [ ( x ) = G ( x}) 15 = X`
fo G ( x) : F ( G (x) : F ( x "1 5 )^ = x`
Gof = FOG
10 ) The functions and immunize to each other , for carl pair , chak
that both compulsor! give the icharting Funding
6 : RX _ TO * But G ` R X -` Z" are confined by :`
_GLX ) EX { and } . " (X ) - ^
for all * EZ *\
G - G- ' ( x ) - G ( 6 - 1 (x ) = G ( -( x ) = *^
6- 1 G ( x ) : 6 -| ( G ( x ) ) : 6 -' ( x 2 ) = -x 2 = x`
GOG'' and B"of are equal
\11) It and It " are both defined from R - EIS to
R - E1] by the formula !`
HACX ) : In
H(x ) = H -" (x ) : 2-1, for all X ER_ _ El]
H ( H -" ( x ) : (^ _D) + 1 = (* + 1 )|
* + 1
( * 7-1 1 - 1\\
( * - 0) (^ \ - 1 ( *^ly
X- 1 ) -
2 + ( * + 1 ) - ( * - 1)`
2
UX + ! ) - 1)
2+
H - ( 1+ ( x ) ) :`
$ 21_ _ = (X + 1 ) + ( X - 1)
HOH'" and H Off an...

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- Fall '19
- NoProfessor
- Set Theory, Binary relation, Equals sign, carl pair, fo G