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Snowcat [4.5K]
3 years ago
11

Use the functions h(x) = 2x + 5 and t(x) = 7x − 6 to complete the function operations listed below.

Mathematics
1 answer:
wlad13 [49]3 years ago
6 0
We have to use the functions:
h ( x ) = 2 x + 5 and t ( x ) = 7 x - 6
Part A:
( h + t ) ( x ) = ( 2 x + 5 )  + ( 7 x - 6 ) = 9 x - 1
Part B :
( h · t ) ( x ) = ( 2 x + 5 ) · ( 7 x - 6 ) = 14 x² - 12 x + 35 x - 30 =
= 14 x² + 23 x - 30
Part C :
h [ t ( x ) ] = h ( 7 x - 6 ) = 2 · ( 7 x - 6 ) + 5 = 14 x - 12 + 5 =
= 14 x - 7
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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B12%7D%20%20%5Cdiv%20%20%5Cfrac%7B2%7D%7B11%7D%20%20%3D%20" id="TexFormula1
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To do so, change it into a multiplication sign, and flip the second fraction

(5/12)/(2/11) = 5/12 x 11/2

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55/24, or 4 7/12

hope this helps

<em>~Rise Above the Ordinary</em>

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