Question

The inverse of ( F(C) = 9/5C + 32 ) is

a. ( C(F) = 5/9(F - 32) )
b. ( C(F) = 9/5(F + 32) )
c. ( C(F) = 5/9F - 32 )
d. ( C(F) = 9/5F - 32 )

Answer 1

The inverse of the equation F(C) = 9/5C + 32 is C(F) = 5/9(F - 32).

Step-by-step explanation:

The inverse of the given equation is ( C(F) = 5/9(F - 32) ).

To find the inverse of the equation, we need to swap the variables. We can rewrite the equation as F = 9/5C + 32. To find the inverse, we swap F and C and solve for C. The inverse equation is C(F) = 5/9(F - 32).

Therefore, the correct answer is option a. ( C(F) = 5/9(F - 32) ).