Functions
Transformations
Composition of Functions
Inverse Functions
100
What is the domain of f(x) = \[{2x-1\over 3x+5}\]
What is x is all real numbers except -5/3?
100
Let f(x) = \[2x^2 - 3\] with domain [-3,4]. The graph of g is obtained by shifting the graph of f up 4 units. Find domain of g.
What is [-3,4]?
100
\[f(x)={x-1\over x+2} and g(x)={x^2+2}\] Evaluate \[f\circ g(3)\]
What is 10/13?
100
Suppose f(x) = 4x-9. Evaluate \[f^{-1}(6)\].
What is x=15/4?
200
What is the domain of f(x) = \[{\sqrt{x+5}\over x+2}\]
What is \[x\geq-5\] and x cannot = -2?
200
Let f(x) = \[2x^2 - 3\] with domain [-3,4]. The graph of g is obtained by shifting the graph of f up 4 units. Find range of g.
What is [1,33]?
200
\[f(x)={x-1\over x+2} and g(x)={x^2+2}\] Evaluate \[f\circ g(x)\]
What is \[{x^2+1\over x^2+4}\]
200
Suppose \[h(x) = {x+4\over x-6}\]. Evaluate \[h^{-1} (3)\]
What is 11?
300
Assume f(x)=\[{x+2\over x-3}\]. Evaluate f(-4)
What is 2/7?
300
Let f(x) = \[2x^2 - 3\] with domain [-3,4]. The graph of g is obtained by shifting the graph of f up 4 units. Find the formula for g.
What is \[2x^2 + 1\]
300
Find a number b such that \[f\circ g = g\circ f, where f(x) = 2x + b ,and g(x) = 3x+4\]
What is b=2?
300
Suppose w(x) = 9x - 1. Find a formula for \[w^{-1}\].
What is \[{x+1\over 9}\]?
400
Assume f(x)=\[{x+2\over x-3}\]. Find a number b such that f(b) = 3
What 11/2?
400
Let f(x) = \[2x^2 - 3\] with domain [-3,4]. The graph of g is obtained by shifting the graph of f 4 units to the right. Find the domain for g.
What is [1,8]?
400
Suppose \[f(x) = {1\over 5x+4}\]. Find the domain of \[f^{-1}\].
What is all real numbers except 0?
500
Let f(x) = \[2x^2 - 3\] with domain [-3,4]. The graph of g is obtained by shifting the graph of f 4 units to the right. Find the formula for g.
What is g(x) = \[2x^2 - 16x + 29\] ?
500
Suppose \[f(x) = {1\over 5x+4}\]. Find the range of \[f^{-1}\].
What is all real numbers except -4/5?
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