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Mathematics 16 Online
iuytyuioiuytyuiop:

math problem

iuytyuioiuytyuiop:

1 attachment
snowflake0531:

This is asking for f(g(x))

snowflake0531:

Which means in each x in f(x), change it to 2x+1

iuytyuioiuytyuiop:

2x+1^2-2 2x+1+3?

snowflake0531:

\[(2x+1)^2 -2(2x+1) +3\]

snowflake0531:

Can you simplify that? remember that \[(a+b)^2 =a^2 +2ab+b^2\] and \[a(b+c) = ab+ac\]

snowflake0531:

one sec, let me add brackets

iuytyuioiuytyuiop:

4x^2+4x+1

snowflake0531:

\[4x^2 + 4x-1 -2(2x+1)+3\]

snowflake0531:

And can you simplify -2(2x+1)

iuytyuioiuytyuiop:

im not sure

snowflake0531:

a(b+c) = ab+ac the distribution property

iuytyuioiuytyuiop:

-4x-2?

snowflake0531:

Yep So now we have \[4x^2 + 4x-1-4x-2+3\] simplify, combine like terms

snowflake0531:

wai waittttt it's +1

iuytyuioiuytyuiop:

4x^2+x+-1+3

snowflake0531:

huh no \[4x^2 +4x-4x+1-2+3\]

iuytyuioiuytyuiop:

im not sure

snowflake0531:

Combine like terms What is 4x-4x?

snowflake0531:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @snowflake0531 Combine like terms What is 4x-4x? \(\color{#0cbb34}{\text{End of Quote}}\)

iuytyuioiuytyuiop:

x

snowflake0531:

no, something subtracted by itself is 0

snowflake0531:

and what is 1-2+3

iuytyuioiuytyuiop:

2

snowflake0531:

So we end up with \[4x^2+2\]

iuytyuioiuytyuiop:

thanks

snowflake0531:

yw~

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