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Use the functions below to answer the questions

 

g(x)=x2-4x+2                                 f(x)=5x-9                                     h(x)=(1/4)x+6

 

 

 

1. (h-f)(4)

2. Find x if h(x)=9

3. Find n if f(n)=f(3n+1) 

 

 

 

 

 

Thanks

Guest Mar 21, 2018

Best Answer 

 #1
avatar+6943 
+3

1.

(h - f)(4)   =   h(4) - f(4)

 

h(4)  =  (1/4)(4) + 6

h(4)  =  1 + 6

h(4)  =  7

 

f(4)  =  5(4) - 9

f(4)  =  20 - 9

f(4)  =  11

 

(h - f)(4)   =   h(4) - f(4)

(h - f)(4)   =   7 - 11

(h - f)(4)   =   -4

hectictar  Mar 21, 2018
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2+0 Answers

 #1
avatar+6943 
+3
Best Answer

1.

(h - f)(4)   =   h(4) - f(4)

 

h(4)  =  (1/4)(4) + 6

h(4)  =  1 + 6

h(4)  =  7

 

f(4)  =  5(4) - 9

f(4)  =  20 - 9

f(4)  =  11

 

(h - f)(4)   =   h(4) - f(4)

(h - f)(4)   =   7 - 11

(h - f)(4)   =   -4

hectictar  Mar 21, 2018
 #2
avatar+6943 
+2

2.

Find  x  if  h(x)  =  9

 

h(x)  =  (1/4)x + 6         Plug in  9  for  h(x) .

9   =   (1/4)x + 6           Now solve this equation for  x . Subtract  6  from both sides.

3   =   (1/4)x                 Multiply both sides by  4 .

12  =  x

 

3.

Find  n  if  f(n)  =  f(3n + 1)

 

If  f(n)  =  f(3n + 1)   , then   n  must equal  3n + 1  .

 

n  =  3n + 1     Subtract  3n  from both sides of this equation.

n - 3n  =  1      Combine like terms.

-2n  =  1          Divide both sides by  -2 .

n  =  -1/2

hectictar  Mar 21, 2018

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