Let f(x) = x + 2 and g(x) = x2 + 4. Find f(g(f(2)).

Question

asked Oct 21, 2020 211k views

1 Answer

Waverly · Answer 1 · 2020-10-26T18:09:33+0000

Answer:

f(g(f(2)))=22

Explanation:

The given functions are

f(x)=x+2

and

g(x)=x^2+4

We want to find
f(g(f(2)) .

We first find
f(2)=2+2=4

This implies that we are finding
f(g(4) .

f(g(x))=f(x^2+4)

$\Rightarrow f(g(x))=x^2+4+2$

$\Rightarrow f(g(x))=x^2+6$

This implies that;

$\Rightarrow f(g(4))=4^2+6$

$\Rightarrow f(g(4))=16+6$

$\Rightarrow f(g(4))=22$

$\therefore f(g(f(2)))=22$