Mathematics
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iuytyuioiuytyuiop:
math problem
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iuytyuioiuytyuiop:
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:
\[(2x+1)^2 -2(2x+1) +3\]
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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)
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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
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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?
\(\color{#0cbb34}{\text{End of Quote}}\)
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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
\[4x^2+2\]
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iuytyuioiuytyuiop:
thanks
snowflake0531:
yw~