Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The functions
f
(
x
)
=
3
x
2
−
2
x
+
4
f(x)=3x^{2}-2x+4
f
(
x
)
=
3
x
2
−
2
x
+
4
and
g
(
x
)
=
5
x
g(x)=5^{x}
g
(
x
)
=
5
x
are defined for all real numbers
x
x
x
. Answer the following questions. a. (i) Obtain the product function
(
f
g
)
(
x
)
(f\,g)(x)
(
f
g
)
(
x
)
in its simplest form. b. (ii) Calculate
(
f
g
)
(
1
)
(f\,g)(1)
(
f
g
)
(
1
)
. c. (iii) Find
(
f
+
g
)
(
0
)
(f+g)(0)
(
f
+
g
)
(
0
)
.
Browse the problem library