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Sveta_85 [38]
2 years ago
14

If f(x) = 2x^2 +1 and g(x) = 3x-2 what is the value of f(g(x))

Mathematics
1 answer:
Tcecarenko [31]2 years ago
3 0

Answer:

18x² - 24x + 9

Step-by-step explanation:

To find f(g(x)), substitute x = g(x) into f(x) , that is

f3x - 2)

= 2(3x - 2)²+ 1 ← expand factor using FOIL

= 2(9x² - 12x + 4) + 1 ← distribute parenthesis by 2

= 18x² - 24x + 8 + 1

= 18x² - 24x + 9

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An expression for the amount of money that Alicia earns in a day is 40y-3g.

Given that, Alicia runs a small business mowing yards in the summer. For every yard she mows, she earns $40. However, she spends part of this money on gasoline for her lawnmower. Each gallon of gasoline costs $3.

We need to find an expression for the given situation.

<h3>What is an expression?</h3>

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Now, expression =40y-3g

Therefore, an expression for the amount of money that Alicia earns in a day is 40y-3g.

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