# SOLUTIONS OF FUNCTIONS INTERMEDIATE MATHEMATICS 1 A

**Intermediate maths** first year Functions solutions for some problems for examination purpose are given.

The solutions are very simple to understand.

You should study the textbook lesson Functions very well.

You can observe the example problems and solutions which are given in the textbook.

**You can also see the solutions **

SSC Maths text book Solutions class 10

Inter maths 1A textbook solutions

Inter Maths 1IA text book solutions

Inter Maths IIB text book solutions

**Functions textbook solutions**

Model papers for maths SSC class 10 and Inter

**Functions solutions, Intermediate.**

**Very short answer questions**

**Problem**

If the function is defined by

f(x) = 3x – 2, x > 3,

f(x) = x^2 – 2, – 2 < or = x < or = 2

f(x) = 2x + 1,. x < – 3

then find the values if exist of f(4), f(2.5), f(- 4), f(0) and f(- 7).

Problem

If A = {0, π/6, π/4, π/3, π/2} and f : A to B is a surjection defined by f(x) = cos x then find B.

Problem

Determine whether the function f : R to R defined by f(x) = x, if x > 2, f(x) = 5x – 2, if x < or = 2 is an injection or surjection.

Problem

If f : R to R, g : R to R are defined by f(x) = 4x – 1 and g(x) = x^2 + 2 then find

i. (gof) (x). ii. (gof) [(a + 1)/4]

iii. (fof)(x). iv. go(fof)(0)

Problem

If f(x) = 1/x, g(x) = √x for all x belongs to ,(0, infinity), then find (gof)(x).

Problem

Find the domain of the real valued function f(x) = √a^2 – x^2

Problem

Find the domain of the real valued function f(x) = 1/(x^2 – 1) ( x + 3).

Problem

Find the domain and range of the function f(x) = x/( 2 – 3x)

Problem

If f = {(4, 5), (5, 6), (6, – 4)} and g = {(4, – 4), (6, 5), (8, 5)} then find

i f + 4. ii. fg. iii. √f. iv. f^2

## SOLUTIONS OF FUNCTIONS INTERMEDIATE MATHEMATICS 1 A

### FUNCTIONS INTER FIRST YEAR PROBLEMS WITH SOLUTIONS

**Long answer questions**

Problem

If f : A to B, g : B to C are two bijective functions, then prove that gof : A to C is also a bijective functions.

Note : Observe the solutions of functions and try them in your own methods.

**Some more solutions**

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