Question

he inverse of F(C) = 9 5 C + 32 is C(F) = F −

Answer 1

Answer:

C(F) = 5/9 F − 160/9

Step-by-step explanation:

Answer 2

$f(c) = \frac{5}{9} (c-32)$ will be the required inverse function of f(c).

The given function is:

$f(c) = \frac{9}{5} c +32$

What is the inverse of a function?

If there is a function f(x), then a function g(x) is called the inverse of the function if f(x) is a bijective function and the domain of f(x) should be equal to the range of g(x) while the range of f(x) should be equal to the domain of g(x).

$f(c) = \frac{9}{5} c +32$,

let us suppose $y= \frac{9}{5} c +32$

$y-32 = \frac{9}{5} c$

$c = \frac{5}{9} (y-32)$

$c = \frac{5}{9} (f(c)-32)$

In order to get the inverse function, interchange c and f(c),

$f(c) = \frac{5}{9} (c-32)$

Therefore, $f(c) = \frac{5}{9} (c-32)$ will be the required inverse function of f(c).

To get more about inverse functions visit:

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