Question

Refer to the figures shown then find the value indicated A) f(g(1))B)g(f(2))

Answer 1

(A)

The value of g(1) is:

$g(1)$

At the value of x=1 then output is 3. that mean g(1)=3

Then f(g(1) is convert in f(3)

the x=3 the graph f(x) show output is 6 .

so:

$f(g(1))=6$

(B)

Value of f(2) is the graph output at the point x=2 is 5 then

g(f(2)) convert in g(5)

The graph g(x) at x=5 output is 3 then the vaqlue is:

$\begin{gathered} g(f(2))=g(f(2) \\ g(f(2))=g(5) \\ g(f(2))=3 \end{gathered}$