Question

For f(x) = 3x + 1 and g(x) = x^2 - 7, find f(g(4)).

Answer 1

First, let's find g(4). After we find it, we can substitute the value into $f(x)$.

To find g(4), we need to substitute x = 4 into the function $g(x)$, as shown below:

$g(x) = x^2 - 7$

$g(4) = 4^2 - 7$

$g(4) = 9$

Now that we have found g(4) = 9, we can substitute this value in for $x$ in $f(x)$.

$f(x) = 3x + 1$

$f(9) = 3(9) + 1$

$f(9) = 28$

f(g(4)) is equal to 28.