List all the elements of the domain. Hence or otherwise

Question

List all the elements of the domain. Hence or otherwise, state the corresponding value of the range

Manisha das · Accepted Answer

Ques 1)
	
	Domain
 x∈(-4,3)
As for x = -1, left hand limit = right hand limit = f (-1) = -6

Range
f(x)∈[-8.25,24)
-8.25 is the lowest value of f (x) = x2+5x-2 in interval of (-4, -1]
And 24 is the value of f (x) = 7x+|-x| at x = 3

Linear
	Quadratic
	Polynomial
	Rational
	
	Dependent variable = f, independent variable = p
	Dependent variable = q, independent variable = p
	Dependent variable = h, independent variable = r, t
	Dependent variable = r, independent variable = s, m
	
	h(w)=7-3w+2w^2,g(p)= -p^3
h(g(p))=7-3(-p^3 )+2(-p^3 )^2=7+3p^3+2p^6

f(t)=  (-2t^2+7)/(5-t^2 )
Let, y=  (-2t^2+7)/(5-t^2 )
y(5-t^2)= -2t^2+7
t^2 (2-y)=7-5y
t^2=(7-5y)/(2-y)
t=√((7-5y)/(2-y))
f^(-1) (t)=√((7-5t)/(2-t))
f^(-1) (0)=√((7-0)/(2-0))=√(7/2)=1.8708

List all the elements of the domain. Hence or otherwise, state the corresponding value of the range

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