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APA
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Mathematics & Economics
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English (U.S.)
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MATH 107: Show Work for All Problems Mathematics Coursework
Coursework Instructions:
SHOW WORK FOR ALL PROBLEMS
Consider the functions:
Find f(g(x))
f(g(1))
find f(2g(x))
What is the inverse of f(x)?
What is the inverse of g(x)?
Consider the function
What is the domain for f(x)?
Solve the equation
Write the following in logarithmic form:
Coursework Sample Content Preview:
SHOW WORK FOR ALL PROBLEMS
1 Consider the functions:
fx=x2+4
gx=x
* Find f(g(x))
For f= x^2+4, substitute x with g(x) = x
= f(x)
=(x) ^ 2 +4
=x2+4
* f(g(1))
=f(1)= (x) ^2+ 4= (1) ^2+ 4= 1+4
= 5
* find f(2g(x))
= f (2x) = (2x^2+ 4
= 4x2 +4
* What is the inverse of f(x)?
F(x) = x2+4
Renaming f(x) as y then the equation is, y= x2+4
Then switching the and the x
X=y2+4
Y2= x-4
Y= √ x-4
Hence, f-1(x) = √ x-4
* What is the inverse of g(x)?
This is g(x) = x
Then y=x
g-1= x
2 Consider the function fx=x2-1
* What is the domain fo...
1 Consider the functions:
fx=x2+4
gx=x
* Find f(g(x))
For f= x^2+4, substitute x with g(x) = x
= f(x)
=(x) ^ 2 +4
=x2+4
* f(g(1))
=f(1)= (x) ^2+ 4= (1) ^2+ 4= 1+4
= 5
* find f(2g(x))
= f (2x) = (2x^2+ 4
= 4x2 +4
* What is the inverse of f(x)?
F(x) = x2+4
Renaming f(x) as y then the equation is, y= x2+4
Then switching the and the x
X=y2+4
Y2= x-4
Y= √ x-4
Hence, f-1(x) = √ x-4
* What is the inverse of g(x)?
This is g(x) = x
Then y=x
g-1= x
2 Consider the function fx=x2-1
* What is the domain fo...
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