Question

Use f(x) = -1/4x + 5 to evaluate: f(4), f(0), and f(-4/3)

Answer 1

`f(4) = 4`

`f(0) = 5`

`f(-(4)/(3)) = (16)/(3)\\`

Explanation:

Given:

`f(x) = -(1)/(4)x +5\\`

Solving for
`f(4)`:

`f(4) = -(1)/(4)(4) +5 \\ f(4) = -1 +5 \\ f(4) = 4`

Solving for
`f(0)`:

`f(0) = -(1)/(4)(0) +5 \\ f(0) = 0 +5 \\ f(0) = 5`

Solving for
`f(-(4)/(3))\\`:

`f(-(4)/(3)) = -(1)/(4)(-(4)/(3)) +5 \\ f(-(4)/(3)) = (1)/(3) +5 \\ f(-(4)/(3)) = (1)/(3) +(15)/(3) \\ f(-(4)/(3)) = (16)/(3)`