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For the function
MATHEMATICS · Multi-part · GCSE · Mathematics · Algebra · Algebra
Problem
For the function
F
(
x
)
=
x
+
a
−
1
F(x)=\sqrt{\,\sqrt{x+a}\,-1}
F
(
x
)
=
x
+
a
−
1
, where
a
a
a
is a real parameter, answer the following: (i) Find all real values of
a
a
a
for which
F
(
x
)
F(x)
F
(
x
)
has a non-empty domain. (ii) For those values of
a
a
a
, state the domain of
F
F
F
."
Related theory
Non-Linear Equations
Functions
Domain and range of functions
Algebra
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