Find f(a), f(a + h), and the difference quotient f(a + h) − f(a) h , where h ≠

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f(x) = 5x2 + 4x − 10

f(
2
)
 = 
 
f(x + 1) = 
 
f(−x) = 
f(x) = 2x + 8
f(a) = 
 
f(a + h) = 
 
f(a + h) − f(a)
h
 = 
f(x) = x2 + 6
f(a) = 
 
f(a + h) = 
 
f(a + h) − f(a)
h
 = 
f(x) = 3
f(a) = 
 
f(a + h) = 
 
f(a + h) − f(a)
h
 = 

Oct 21st, 2017

Thank you for the opportunity to help you with your question!

f(x) = 5x2 + 4x − 10

f(2)= 5(2)^2 + 4(2) − 10= 20+8-10= 18

f(x+1)=5(x+1)^2 + 4(x+1) − 10

= 5(x^2+1+2x)+ 4x+4-10

= 5x^2+5+10x+ 4x-6

= 5x^2+14x-1

f(-x) = 5x2 - 4x − 10


f(x) = 2x + 8

f(a) = 2a + 8

f(a+h) = 2(a+h) + 8= 2a+2h+8

[f(a+h)- f(a)]/h = [2a+2h+8 - 2a-8]/h

                       = [2h]/h= 2


f(x) = x2 + 6

f(a) = a^ 2+ 6

f(a+h) = (a+h)^2 + 6= a^2+h^2 +2ah +6

[f(a+h)- f(a)]/h = [a^2+h^2 +2ah +6 - a^2-6]/h

                       = [h^2+2ah]/h=  h+2a

f(x) = 3

f(a)=3

f(a+h)=3

[f(a+h)- f(a)]/h= (3-3)/h =0


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Jun 28th, 2015

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