Question

Function Help Please

For f(x) = 1/x^2 - 3 find:

A) f(3)

and B)

f(2 + h).

(I need help with both choices)

Answer 1

f(x) =
`(1)/(x^(2) - 3 )`

f(3) =
`(1)/(9^(2) - 3 )`

=
`(1)/(81 - 3 )`

=
`(1)/(78)`

f(2 + h) =
`(1)/((2 + h)^(2) - 3 )`

=
`(1)/(4 + 4h + h^(2) - 3 )`

=
`(1)/(1 + 4h + h^(2))`