Answer: (f∘g)(x)=15x
Explanation:
The expression of (f∘g)(x) in the simplest form is (f∘g)(x)=15x and this can be determined by using the arithmetic operations.
Given :
f(x)=3x
g(x)=5x
The following steps can be used in order to determine the expression of (f∘g)(x):
Step 1 - Write the given function.
f(x)=3x
g(x)=5x
Step 2 - Now, replace 'x' with g(x) in order to determine the expression of (f∘g)(x).
(f∘g)(x)=3g(x)
(f∘g)(x)=3x5x
Step 3 - Simplify the above expression.
(f∘g)(x)=15x
The expression of (fog)(x) in the simplest form is (f∘g)(x)=15x