Question

Given: f(x) = x + 2 and h(x) =

Evaluate the following function at x=2.

Answer 1

`((h(2) )^2)/(f(2))=(1)/(4) .`

Explanation:

To evaluate the function at x= 2, substitute the value of x by 2 in the expression of the function and calculate. Do it like this:

1. Write the composite expression.

`(((1)/(x-1) )^2)/(x+2)`

2. Substitute all x's by the given value (2).

`(((1)/((2)-1) )^2)/((2)+2)`

3. Simplify the denominator.

`(((1)/((2)-1) )^2)/(4)`

4. Simplify the numerator.

`(((1)/(1) )^2)/(4)\\ \\((1 )^2)/(4)\\ \\(1)/(4) \\`

5. Express your result.

`((h(2) )^2)/(f(2))=(1)/(4) .`