Respuesta :
Answer:
f(g(x)) = 9x² + 6x + 1
Step-by-step explanation:
f(x) = x², g(x)= 3x + 1
f(g(x)) = f(3x + 1) = (3x + 1)² = 9x² + 3x + 3x + 1 = 9x² + 6x + 1
The expression for the given function will be f(g(x)) = 9x² + 6x + 1
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using the signs like addition, subtraction, multiplication and division.
Given that:-
- f(x) = x2 and g(x)= 3x + 1, which expression represents f(g(x))?
So expression will be calculated as:-
f(x) = x² , g(x )= 3x + 1
f(g(x)) = f(3x + 1) = (3x + 1)²
f(g(x)) = 9x² + 3x + 3x + 1
f(g(x)) = 9x² + 6x + 1
Therefore the expression for the given function will be f(g(x)) = 9x² + 6x + 1
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