Home
Class 11
MATHS
The formula for converting from Fahrenhe...

The formula for converting from Fahrenheit to Celsius temperatures is y = `(5x)/(9)-(160)/(9)`. Find the inverse of this function and determine whether the inverse is also a function.

Text Solution

Verified by Experts

The correct Answer is:
Replacing y by x, we get ` f^(-1) (x) = (9x + 160)/(5) = (9x)/(5) + 32 `
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SURAS MODAL QUESTION PAPER-1 MATHEMATICS

    SURA PUBLICATION|Exercise Section-III|10 Videos

  • SETS RELATIONS AND FUNCTIONS

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - D) (MARKS 5)|11 Videos

  • SURAs MODEL QUESTION PAPER - 1

    SURA PUBLICATION|Exercise PART-IV|11 Videos

Similar Questions

Explore conceptually related problems

The formula for converting from Fahrenheit to Celsius temperautee is y=(5x)/9-160/9 . Find the inverse of this function and determine whether the invere is also a function.

A simple ciphertakes a number and codes it, using the function f(x) = 3x -4. Find the inverse of this function, determine whether the inverse is also a function and verify the symmetrical property about the line y = x (by drawing the lines).

A simple ciphertakes a number and codes it, using the function f(x)=3x-4. Find the inverse of this function, determine whether the inverse is also a function and verify the symmetrical property about the line y-x (by drawing the lines).

A simple cipher takes a number and codes it, using the function f(x)=3x-4 . Find the inverse of this function determine whether the inverse is also a function and verify the symmetrical property about the line y=x (by drawing the lines).

Find the inverse of the function: f:[-1,1]rarr[-1,1] defined by f(x)=x|x|

Find the inverse of the function: f(x)={x^3-1, ,x<2 x^2+3,xgeq2

Find the inverse of the function: f: R rarr (-oo,1)gi v e nb yf(x)=1-2^(-x)

Find the inverse of the function f: [-1,1] to [-1,1],f(x) =x^(2) xx sgn (x).

Find the intervals in which the functions are strictly increasing or decreasing: 6-9x-x^(2)

Find the inverse of the function: f:(-oo,1] rarr [1/2,oo],w h e r ef(x)=2^(x(x-2))

Home
Profile