#Composite functions

67 messages ยท Page 1 of 1 (latest)

pseudo blade
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@wispy bough im begging u help me PLEASE

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๐Ÿ˜ญ

wispy bough
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for gf(x) = (1+x)^2
can something squared ever be negative?

pseudo blade
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idk

warped cedar
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mad

wispy bough
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erm

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think about squaring a negative

pseudo blade
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OH

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no

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no u cant

wispy bough
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yah

warped cedar
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๐Ÿฅถ

pseudo blade
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itll be imaginary

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so x is greater than 1?

wispy bough
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y>=0

pseudo blade
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same thing

wispy bough
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erm

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asking for the range silly

pseudo blade
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oh

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also did i find gf(x) correctly on the first question

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cuz i just redid it and got a completely different answer

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i got (x+1)^2/x

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what abt the range for the second one

pseudo blade
wispy bough
wispy bough
pseudo blade
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i cant complete the square if A is not equal to 1

wispy bough
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1/1/(x+1)^2

pseudo blade
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how do i do that

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oh yeah

wispy bough
pseudo blade
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whoops mb

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i still dont know

wispy bough
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so if you just factor out 4 first then
fg(x) = 4(x^2-3x) + 9
fg(x) = 4(x-3/2)^2 - 9 +9

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fg(x) = 4(x-3/2)^2

pseudo blade
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huh

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now imi still confused

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๐Ÿ˜ญ

wispy bough
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don't use the 9 in the factorisation since you have to pull it out at the end anyways

pseudo blade
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oh right

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then what

wispy bough
wispy bough
pseudo blade
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yeah...

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so it must be greater than 0?

warped cedar
wispy bough
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crazy

wispy bough
pseudo blade
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shut up i cant complete tthe square when a is not 1

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๐Ÿ˜ญ

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what abt gf(x) on second q

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how do i find the range of that

wispy bough
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on 2x^2 -3 ?

pseudo blade
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yh

wispy bough
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anything squared is greater than or equal to 0
anything squared -3 is greater than or equal to -3

pseudo blade
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huh

wispy bough
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like

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for any real a

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a^2 >= 0

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a^2 - 3 >= -3

pseudo blade
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so that means the range is -3 <= y <= 0?

wispy bough
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no

pseudo blade
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oh

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just greater than or equal to -3?

wispy bough
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yes

pseudo blade
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oh