Question

given f(x)=4x+2 Evaluate f(a+h)-f(a)/h​

Answer 1

Given f (x) = x2 + 2x – 1, evaluate f (§).

Well, evaluating a function means plugging whatever they gave me in for the argument in the formula. This means that I have to plug this character "§" in for every instance of x. Here goes:

f (§) = (§)2 + 2(§) – 1

= §2 + 2§ – 1

This is definitely weird-looking, but it follows all the rules they gave me, so:

f (§) = §2 + 2§ – 1

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Answer 2

Answer:

f(x)=4x+2. (1)

Put x=a a is a point

f(a) =4a+2. (2)

Now change in x2=x+dx here x=a, and dx=h

So, x2=a+h put it in (1)

f(a+h)=4(a+h)+2

Now using first principle

df/dx=f(x+dx)-f(x)/dx

Here x=a, dx=h

df(a) /h=f(a+h) - f(a) /h

So

=>[4(a+h)+2]-(4a+2)/h

=> (4a+4h+2-4a-2)/h

=> 4h/h

=>4 is the answer