Question

find the following for the given function

(a) f(0)   (b) f(1)    (c) f(-1)    (d) f(-x)    (e) - f(x)    (f) f(x + 1)    (g) f(2x)    (h) f(x + h)

f(x) = x/(x²+1)

Answer 1

Step 1:

The function is  .

(a) Find the value of  .

Substitute in the function.

Step 2:

(b) Find the value of .

Substitute in the function.

Step 3:

(c) Find the value of .

Substitute in the function.

Step 4:

(d) Find the value of  .

Substitute in the function.

Solution:

(a) .

(b) .

(c) .

(d) .

 

Answer 2

Step 1:

The function is  .

(e) Find the value of .

Step 2:

(f) Find the value of .

Substitute in the function.

Step 3:

(g) Find the value of .

Substitute in the function.

Step 4:

(h) Find the value of .

Substitute in the function.

Solution:

(e) .

(f) .

(g) .

(h) .