Complete question is;
The function f(x) = (9/5)x + 32 converts temperatures from x degrees in Celsius
to y degree in Fahrenheit. The function g(x) = (5/9)(x − 32) converts temperatures from x degrees in Fahrenheit to y degrees in Celsius.
a. Find (f o g) (x)
b. (g o f) (x)
Answer:
A) x
B) x
Explanation:
A) f(x) = (9/5)x + 32
g(x) = (5/9)(x − 32)
Thus;
(f o g) (x) = (9/5)(g(x)) + 32
This gives;
(9/5)((5/9)(x − 32)) + 32 = x - 32 + 32 = x
B) (g o f) (x) = (5/9)((f(x)) − 32)
This gives;
(5/9)((9/5)x + 32 - 32) = x