Question

If Af(x) = f(x+h)-f(x), and f(x)=k a constant, then Ak equals
a)1
b)0
c)f(k)-f(0)
d)-1​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

If Af(x) = f(x+h)-f(x), and f(x) = k a constant, then Ak = 0

Given :

Af(x) = f(x+h)-f(x), and f(x) = k a constant

To find :

Ak equals

a) 1

b) 0

c) f(k) - f(0)

d) - 1

Solution :

Step 1 of 2 :

Write down the given expression

Here it is given that

f(x) = k , a constant

Step 2 of 2 :

Find the value of Ak

f(x) = k

⇒ f(x + h) = k

Thus we get

Af(x) = f(x+h) - f(x)

⇒ Ak = k - k

⇒ Ak = 0

Hence the correct option is b) 0

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