(a) If g ( x ) = 2 x + 1 and h ( x ) = 4 x 2 + 4 x + 7 , find a function f such that f ∘ g = h . (Think about what operations you would have to perform on the formula for g to end up with the formula for h .) (b) If f ( x ) = 3 x + 5 and h ( x ) = 3 x 2 + 3 x + 2 , find a function g such that f ∘ g = h .
(a) If g ( x ) = 2 x + 1 and h ( x ) = 4 x 2 + 4 x + 7 , find a function f such that f ∘ g = h . (Think about what operations you would have to perform on the formula for g to end up with the formula for h .) (b) If f ( x ) = 3 x + 5 and h ( x ) = 3 x 2 + 3 x + 2 , find a function g such that f ∘ g = h .
Solution Summary: The author explains how to find the function f such that fog=h.
(a) If
g
(
x
)
=
2
x
+
1
and
h
(
x
)
=
4
x
2
+
4
x
+
7
, find a function f such that
f
∘
g
=
h
. (Think about what operations you would have to perform on the formula for g to end up with the formula for h.)
(b) If
f
(
x
)
=
3
x
+
5
and
h
(
x
)
=
3
x
2
+
3
x
+
2
, find a function g such that
f
∘
g
=
h
.
For what value of A and B the function f(x) will be continuous everywhere for the given definition?..
2. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.4.006.MI.
Use the Table of Integrals to evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
7y2
y²
11
dy
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3. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.4.009.
Use the Table of Integrals to evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
tan³(12/z) dz
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4. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.4.014.
Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.)
5 sinб12x dx
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