Answer the following
1. f(x) = 2x+3 and g(x) = 7-4x
a) What is gf(4)?
b) Evaluate f²(2)
c) Solve f(x)=2g(x)
2. The functions f and g are such that f(x) = ⅟x+1 and g(x) = 2x + 3
(a) State which value of x must be excluded from any domain of f.
(b) Find g(10)
(c) calculate gf(-7)
(d)Express the inverse function g-1 in the form g-1 (x) = …
3. f(x) = (4x-3)/5 Work out f-1(x)
4. f(x) = x2 + 1 and g(x) = x – 5
a) Show that fg(x) = x2 - 10x + 26
b) Solve fg(x) = gf(x)
5. f(x) = 3x2 – 2x – 8 Express f(x + 2) in the form ax2 + bx
6. The functions and are such that
f(x) = 3(x– 4) and g(x) = ( x/5)+1
a) Find the value of f(10)
b) Find g-1 (x)
c) Show that ff(x)= 9x– 48
7. The functions f(x) and g(x) are given by the following:
f(x) = 2x and g(x) = 3 + 2x
(a) Calculate the value of gf(4)
(b) Solve the equation fg(x) = 14
8. Given that f( x)= x2 − 17 and g( x)= x+3
a) Work out an expression for: g-1( x)
b) Work out an expression for: f-1 ( x)
c) Solve: f-1 ( x)= g-1( x)
9. f( x)= x 2 − 1
a) Find and expression for : f ( x− 2)
b) Hence solve: f( x− 2)=0
10. f ( x)= 4x− 1 and g( x)= k x2 , where k is a constant
Given that fg(2)=12
Work out the value of k
Downloaded from http://qusaistuition.blogspot.com
0 comments:
Post a Comment