Given
h(x) = 2x
+ 9
and
f(x) = 1/6x +5
Evaluate the composite function
h[f(6)]
Answer: ![h[f(6)]=21](http://img.homeworklib.com/questions/314c5c20-ef36-11ea-909a-756f106646b2.png?x-oss-process=image/resize,w_560)
Explanation:


![h[f(x)]=h(\frac{1}{6}x+5)](http://img.homeworklib.com/questions/33bc05c0-ef36-11ea-b690-2db59f2f0e0a.png?x-oss-process=image/resize,w_560)
![h[f(x)]=2 (\frac{1}{6}x+5)+9](http://img.homeworklib.com/questions/34230e30-ef36-11ea-a280-91b78f0ff9bd.png?x-oss-process=image/resize,w_560)
![h[f(6)]=2(\frac{1}{6}*6+5)+9](http://img.homeworklib.com/questions/347f3b50-ef36-11ea-8d2c-07a072d7300e.png?x-oss-process=image/resize,w_560)
![h[f(6)]=2(1+5)+9](http://img.homeworklib.com/questions/34d2b6e0-ef36-11ea-9b27-d7e814cf9022.png?x-oss-process=image/resize,w_560)
![h[f(6)]=12+9](http://img.homeworklib.com/questions/35294730-ef36-11ea-a3ec-7bd2233035ae.png?x-oss-process=image/resize,w_560)
![h[f(6)]=21](http://img.homeworklib.com/questions/314c5c20-ef36-11ea-909a-756f106646b2.png?x-oss-process=image/resize,w_560)
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