The function f(x) = 95 + 32 converts temperatures from x degrees in Celsius
to y degree in Fahrenheit. The g(x) = 59 ( − 32) converts temperatures from
x degrees in Fahrenheit to y degrees in Celsius.

a. Find (f o g) (x)
b. (g o f) (x)

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

Step-by-step 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

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