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The function t which maps temperature in...

The function t which maps temperature in degree Celsius into temperature in degree Fahrenheit is defined by `t(C)=(9C)/5+32` . Find (i) t (0) (ii) t(28) (iii) `t(" "10)` (iv) The value of C, when `t(C)" "=" "212` .

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the function 't' maps temperature in degree celsius into temperature Fahrenheit is difined by:
`t(C)=(9C)/(5)+32`
(i) Put C = 0,
`t(0)=(9C)/(5)+32=0/5+32=32^(@)`
Put C = 28,
`t(28)=(9xx28)/(5)+32=(252)/(5)+32=50.4+32=82.4^(@)`
(iii) Put C = (-10),
`t (-10)=(9xx(-10))/(5)+32=-18+32=14^(@)`
(iv) `becauset(C)=212`
`therefore212=(9C)/(5)implies(9C)/(5)=121-32`
`implies(9C)/(5)=18 `
`impliesC=180xx5/9=100^(@)`
`implies C=100^(@)`
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