Combine Different Function Types
Algebra 1 · Flashcards
ALGEBRA 1 · FLASHCARDS
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QUESTION
What is the vertical scaling of
f
(
x
)
f(x)
f
(
x
)
when forming
c
f
(
x
)
cf(x)
c
f
(
x
)
?
QUESTION
Simplify
(
f
+
g
)
(
x
)
(f+g)(x)
(
f
+
g
)
(
x
)
if
f
(
x
)
=
3
x
f(x)=3^x
f
(
x
)
=
3
x
and
g
(
x
)
=
2
⋅
3
x
g(x)=2\cdot 3^x
g
(
x
)
=
2
⋅
3
x
.
QUESTION
Find
h
(
x
)
h(x)
h
(
x
)
if
f
(
x
)
=
x
f(x)=\sqrt{x}
f
(
x
)
=
x
and
g
(
x
)
=
x
g(x)=x
g
(
x
)
=
x
and
h
(
x
)
=
f
(
x
)
g
(
x
)
h(x)=f(x)g(x)
h
(
x
)
=
f
(
x
)
g
(
x
)
.
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ANSWER
h
(
x
)
=
x
x
h(x)=x\sqrt{x}
h
(
x
)
=
x
x
. Multiply the expressions:
x
⋅
x
=
x
x
\sqrt{x}\cdot x=x\sqrt{x}
x
⋅
x
=
x
x
.
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