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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