ELECTIVE (FURTHER) MATHEMATICS FOR WASSCE/NOVDEC CANDIDATES

ELECTIVE(FURTHER) MATHEMATICS
WASSCE/NOVDEC CANDIDATES
0547316472

Q 1(c) If f(x)=2x²+x/2 and g(x)=1/x +4, Find :
(i) f(½),
(ii) f(¼) × g(½).

2(a) Under Mapping h(x)=px²–qx + 2, the image of 3 is 14 and the image of –2 is 24. Find :

(i) The value of p and q.

(ii) The elements whose image is 4.

3.The function f and g are given as f(x)=x+3/x and g(x)=2x+1.
Evaluate: (i) g(–2),  (ii) f(–½).

The function f and g are defined as f:x–> x–2 and g(x)–> 2x²–1.  Solve :

(i)f(x)=g(–½)
(ii) f(x) + g(x)=0.

4.Given that f(x)=2x–1 and g(x)=x² + 1:

(i) Find f(1+x):

(ii) Find the range of values of x for which f(x)< –3;

(iii)Simplify f(x)–g(x).

5.The functions f and g are defined as
f:x–> 3x–2, g(x)=1/x (x≠0).

Evaluate* : (i) f(–2),  (ii)*g(½).

solve
(iii)f(x)=g(½),

(iv) f(x)=g(x).

6.If f(x)=4x –2, find :

(i)f(2),

(ii) f(2t).

(b)If p= ( 3 ) and q= (–1 )*  
                 *2*                *3*      
(i)  Find the vector representing *3p–q*

(ii)Given that :ap + bq =( 3 )*

7(a) If f(x)=2x²–3x + 4, Simplify f(x)+3x.

(b) If g(x)= (x + 3)(x–4)/2.

(i)Find the values of x for which g(x)=0.

(ii)Evaluate g(–1).

(iii)Find the values of C for which g(c)=–3.

8.Two functions, f and g are defined by
f:x—> 2x²–1 and g:x—>3x + 2 Where x is a real number.

(i) if f(x–1)–7=0;

(ii)Evaluate f(½)g(3)/f(4)–g(5)

(b) An Operation (*) is defined on the set R of real numbers by m(*) n=–n/m²+1, Where m,n € R.