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14 June, 12:25

Let f (x) = 2x-3/9 and g (x) = 9x+3/2

Find (f o g) (x)

Find (f o g) (x)

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  1. 14 June, 12:33
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    These seem tough, but they are not that bad.

    (f o g) (x)

    That means to take function g when x = x (It just means that you don't need to do anything with the function) and substitute it into function f wherever there is a x value. (So basically g becomes what x equals)

    Here is a visual representation of it.

    (f o g) (x) = 2 (9x + (3/2)) - (3/9)

    We need to distribute the 2 to everything inside the parenthesis.

    (f o g) (x) = 18x + (6/2) - (3/9)

    Let's simplify the fraction on the right and left, then find a common denominator so we can add / subtract the two fractions.

    (f o g) (x) = 18x + (3) - (1/3)

    (f o g) (x) = 18x + (9/3) - (1/3)

    Combine like terms.

    (f o g) (x) = 18x + (8/3)

    Our final answer is:

    (f o g) (x) = 18x + 8/3
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