+0  
 
0
133
2
avatar

 

 

 

 

 

 

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+7155 
+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
 #1
avatar+7155 
+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+7155 
+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

23 Online Users

avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.