Question

If f(x)=x^2 and g(x)=1/2x+3 find g(f(-1))

Answer 1

g
(
f
(
x
)
)
g
(
f
(
x
)
)
Evaluate
g
(
f
(
x
)
)
g
(
f
(
x
)
)
by substituting in the value of
f
f
into
g
g
.
g
(
2
x
−
3
)
=
(
2
x
−
3
)
+
1
g
(
2
x
-
3
)
=
(
2
x
-
3
)
+
1
Add
−
3
-
3
and
1
1
.
g
(
2
x
−
3
)
=
2
x
−
2

Answer 2

1/5

Explanation:

F(x)=x^2

g(x)=1/(2x+3)

g(f(-1))=?

x=-1→f(-1)=(-1)^2→f(-1)=1

g(f(-1))=g(1)=1/[2(1)+3]=1/(2+3)→g(f(-1))=1/5