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Let

\(f(x) &= 2x + 5 g(x) &= √{f(x)} - 2 h(x) &= f(g(x)) \)

What is 

\( h(2)\)?

 Feb 10, 2018

Best Answer 

 #1
avatar+8095 
+2

 f(x)   =   2x + 5

g(x)   =   √[ f(x) ] - 2

h(x)   =   f(g(x))

 

h(2)   =   f(g(2))

 

g(2)   =   √[ f(2) ] - 2

 

 f(2)   =   2(2) + 5   =   4 + 5   =   9

 

g(2)   =   √[ f(2) ] - 2   =   √[ 9 ] - 2   =   3 - 2   =   1

 

h(2)   =   f(g(2))   =   f( 1 )

 

 f(1)   =   2(1) + 5   =   2 + 5   =   7

 

h(2)   =   f(g(2))   =   f( 1 )   =   7

 Feb 10, 2018
 #1
avatar+8095 
+2
Best Answer

 f(x)   =   2x + 5

g(x)   =   √[ f(x) ] - 2

h(x)   =   f(g(x))

 

h(2)   =   f(g(2))

 

g(2)   =   √[ f(2) ] - 2

 

 f(2)   =   2(2) + 5   =   4 + 5   =   9

 

g(2)   =   √[ f(2) ] - 2   =   √[ 9 ] - 2   =   3 - 2   =   1

 

h(2)   =   f(g(2))   =   f( 1 )

 

 f(1)   =   2(1) + 5   =   2 + 5   =   7

 

h(2)   =   f(g(2))   =   f( 1 )   =   7

hectictar Feb 10, 2018

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