Question

The function f is defined by f(x)=2.1x−1.7. Use this formula to find the following values of f. f(x+2)

Answer 1

The value of
`f(x+2)=2.1x+2.5`

Explanation:

Given: The function
`f(x)=2.1x-1.7`

Using this formula, we need to find the value of
`f(x+2)`

Hence, we need to substitute
`x` by
`x+2` to find the value of
`f(x+2)`

`f(x+2)=2.1(x+2)-1.7`

Multiplying the term
`(x+2)` by
`2.1`, we get,

`f(x+2)=2.1x+4.2-1.7`

Adding the constant term,

`f(x+2)=2.1x+2.5`

Thus, the value of
`f(x+2)` is
`f(x+2)=2.1x+2.5`