Question

If f(x) = x ² +1 and g(x) =3x+ 1,find [f(4)] ²

Answer 1

289

Explanation:

Evaluate f(4) by substituting x = 4 into f(x), that is

f(4) = 4² + 1 = 16 + 1 = 17, then

[f(4) ]² = 17² = 289

Answer 2

289

Explanation:

We don't need
`g` at all for this.

We will need to know
`f(4)` before continuing...

`f(4)` can be found by replacing
`x` in
`f(x)=x^2+1` with
`4`:

`f(4)=4^2+1`

`f(4)=16+1`

`f(4)=17`

-------------------

Now let's find
`[f(4)]^2`:

`[f(4)]^2`

`[17]^2`

`17(17)`

`289`