Math, asked by arujaat967, 7 months ago

f(x)=1/2x+1,x is not equal to-1/2 then show that f{f(x)}=2x+1/2x+3, provided x is not equal to-3/2

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Answered by Itznikhilhere

$<!DOCTYPE html> <html> <head> <title>3D Animation</title> </head> <body> <div class="stage" style="width: 120px; height: 120px;"> <div class="cubespinner"> <div class="face1">Nikhil </div> <div class="face2">Cricketer</div> <div class="face3">Your_Freind</div> <div class="face4">Heroic</div> <div class="face5">Phenomenol</div> <div class="face6">Man_Mortal</div> </div> </div> <style> body { margin: 100px 50px 50px 50px; } @-webkit-keyframes spincube { from,to { -webkit-transform: rotateX(0deg) rotateY(0deg) rotateZ(0deg); } 16% { -webkit-transform: rotateY(-90deg); } 33% { -webkit-transform: rotateY(-90deg) rotateZ(90deg); } 50% { -webkit-transform: rotateY(-180deg) rotateZ(90deg); } 66% { -webkit-transform: rotateY(-270deg) rotateX(90deg); } 83% { -webkit-transform: rotateX(90deg); } } @keyframes spincube { from,to { -moz-transform: rotateX(0deg) rotateY(0deg) rotateZ(0deg); -ms-transform: rotateX(0deg) rotateY(0deg) rotateZ(0deg); transform: rotateX(0deg) rotateY(0deg) rotateZ(0deg); } 16% { -moz-transform: rotateY(-90deg); -ms-transform: rotateY(-90deg); transform: rotateY(-90deg); } 33% { -moz-transform: rotateY(-90deg) rotateZ(90deg); -ms-transform: rotateY(-90deg) rotateZ(90deg); transform: rotateY(-90deg) rotateZ(90deg); } 50% { -moz-transform: rotateY(-180deg) rotateZ(90deg); -ms-transform: rotateY(-180deg) rotateZ(90deg); transform: rotateY(-180deg) rotateZ(90deg); } 66% { -moz-transform: rotateY(-270deg) rotateX(90deg); -ms-transform: rotateY(-270deg) rotateX(90deg); transform: rotateY(-270deg) rotateX(90deg); } 83% { -moz-transform: rotateX(90deg); -ms-transform: rotateX(90deg); transform: rotateX(90deg); } } .cubespinner { -webkit-animation-name: spincube; -webkit-animation-timing-function: ease-in-out; -webkit-animation-iteration-count: infinite; -webkit-animation-duration: 12s; animation-name: spincube; animation-timing-function: ease-in-out; animation-iteration-count: infinite; animation-duration: 12s; -webkit-transform-style: preserve-3d; -moz-transform-style: preserve-3d; -ms-transform-style: preserve-3d; transform-style: preserve-3d; -webkit-transform-origin: 60px 60px 0; -moz-transform-origin: 60px 60px 0; -ms-transform-origin: 60px 60px 0; transform-origin: 60px 60px 0; } .cubespinner div { position: absolute; width: 300px; height: 300px; background: rgba(255,255,255,0.9); line-height:200px; text-align: center; font-size: 50px; } .cubespinner .face1 { color: CadetBlue; -webkit-transform: translateZ(60px); -moz-transform: translateZ(60px); -ms-transform: translateZ(60px); transform: translateZ(60px); } .cubespinner .face2 { color: ForestGreen; -webkit-transform: rotateY(90deg) translateZ(60px); -moz-transform: rotateY(90deg) translateZ(60px); -ms-transform: rotateY(90deg) translateZ(60px); transform: rotateY(90deg) translateZ(60px); } .cubespinner .face3 { color: blue; -webkit-transform: rotateY(90deg) rotateX(90deg) translateZ(60px); -moz-transform: rotateY(90deg) rotateX(90deg) translateZ(60px); -ms-transform: rotateY(90deg) rotateX(90deg) translateZ(60px); transform: rotateY(90deg) rotateX(90deg) translateZ(60px); } .cubespinner .face4 { color: orange; -webkit-transform: rotateY(180deg) rotateZ(90deg) translateZ(60px); -moz-transform: rotateY(180deg) rotateZ(90deg) translateZ(60px); -ms-transform: rotateY(180deg) rotateZ(90deg) translateZ(60px); transform: rotateY(180deg) rotateZ(90deg) translateZ(60px); } .cubespinner .face5 { color: red; -webkit-transform: rotateY(-90deg) rotateZ(90deg) translateZ(60px); -moz-transform: rotateY(-90deg) rotateZ(90deg) translateZ(60px); -ms-transform: rotateY(-90deg) rotateZ(90deg) translateZ(60px); transform: rotateY(-90deg) rotateZ(90deg) translateZ(60px); } .cubespinner .face6 { color: DarkSlateGray; -webkit-transform: rotateX(-90deg) translateZ(60px); -moz-transform: rotateX(-90deg) translateZ(60px); -ms-transform: rotateX(-90deg) translateZ(60px); transform: rotateX(-90deg) translateZ(60px); } </style> </body> </html>$

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f(x)=1/2x+1,x is not equal to-1/2 then show that f{f(x)}=2x+1/2x+3, provided x is not equal to-3/2​

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f(x)=1/2x+1,x is not equal to-1/2 then show that f{f(x)}=2x+1/2x+3, provided x is not equal to-3/2