Question

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

Answer 1

Answer:

289

Step-by-step 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

Answer:

289

Step-by-step 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 $4$:

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

$f(4)=16+1$

$f(4)=17$

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

$[f(4)]^2$

$[17]^2$

$17(17)$

$289$