Question

F(z)=5-4z^2; z=-2, z=0

Answer 1

Therefore,

`f(-2)=-11\\f(0)=5`

Explanation:

Function:

A function is like a machine that gives an output for a given input.

A function has an independent variable which is called the input of the function.

The output for a given input is called the dependent variable.

Here. 'z' is the input independent variable

f(z) is the function dependent variable i.e function of z as an output.

Here,

`f(z)=5-4z^(2)`

Therefore, at z = -2 we have

`f(-2)=5-4(-2)^(2)=5-4(4)=5-16=-11\\\\f(-2)=-11`

Similarly at z =0 we have

`f(0)=5-4(0)^(2)=5-0=5\\f(0)=5`

Therefore,

`f(-2)=-11\\f(0)=5`