SOLUTION: given f(x)=√2x-1 and g(x)= x^2+1,x grater then or equal to 0
1.without finding the formula for f^-1,find f^-1(5)
2.find f^-1(x) and g^-1(x)
3.give range of f^-1(x) and
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Question 1084544: given f(x)=√2x-1 and g(x)= x^2+1,x grater then or equal to 0
1.without finding the formula for f^-1,find f^-1(5)
2.find f^-1(x) and g^-1(x)
3.give range of f^-1(x) and give the domain of g^-1(x)
4.express (g o f)(x) in simplified form
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
given and , where
1.without finding the formula for ,find
Determining the value of is equivalent to determining the
value when
2.find and
.............swap and
.......solve for
3.give range of f^-1(x) and give the domain of g^-1(x)
domain: (all real numbers)
(,)
range: { element : }
[,)
4.express in simplified form
I usually convert to the more intuitive :
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