3 years ago

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

Mathematics

1 answer:

Tcecarenko [31]3 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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Question:

The diagram below shows the graph of a proportional relationship. The plotted point is (6,9) .

What is the unit rate of this graph? Be sure to simplify your answer.

Answer:

The unit rate of this graph is 1.5

Explanation:

The graph shows a proportional relationship and the plotted point is (6,9).

The unit rate of the graph can be determined by the formula,

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=m$

Thus, from the graph, the coordinates are (0,0) and (6,9)

Substituting the coordinates in the formula, we have,

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$m=\frac{6}{9} =1.5$

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Answer:

Step-by-step explanation:

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