MATHS
BOOKS - CENGAGE PUBLICATION
RELATIONS AND FUNCTIONS
Others
1. If f is a linear function and f(2)=4,f(-1)=3 then
find f(x)
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2
x + 1
2. A function is defined as f(x) = .
3x − 2
Can f(x) take a value 1 for any real x ? Also
find the value (s) of x for which f(x) takes
the value 2.
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3. A function is defined as f(x) = x
2
− 3x .
Find the value of f(2) . Find the value of x for
which f(x) = 4.
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4. Find the value of x
2
for the given values of
x.
(i)x < 3(ii)x > − 1(iii)x ≥ 2(iv)x < − 1
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5. Find the value of 1 / x for the given values of
x. x > 3 (ii) x < − 2 (iii) x ∈ ( − 1, 3) − {0}
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6. Find the values of x for which the following
functions are defined,. Also find all possible
1
values which functions take. f(x) =
x + 1
x − 2 2x
(ii) f(x) = (iii) f(x) =
x − 3 x − 1
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3
⎪x
⎧ x < 0
7. lf f(x) = ⎨ 3x − 2 0 ≤ x ≤ 2 , then find
⎩
⎪ 2
x + 1 x > 2
the value of f( − 1) + f(1) + f(3) . Also find
the value (s) of x for which f(x) = 2.
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8. Find all the possible values of the following
1 1
expressions: 2
(ii) 2
(iii)
x + 2 x − 2x + 3
1
2
x − x − 1
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9. Find all the possible the value of the
following expression . √x
2
− 4 (ii) √9 − x
2
(iii) √x 2
− 2x + 10
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