Question 1
3 marksThe function is given by
(a)
Work out .
(b)
Work out when .
Functions Practice Questions
Question 2
2 marksThe function f is given by f(x)=11−3x with domain −2≤x≤5
Work out the range of the function.
Answer: ≤f(x)≤
Question 0
7 marksThe functions f and g are given by
f(x)=3x+2
g(x)=x2−4x
(a)
Work out gf(2).
(b)
Work out fg(x) in the form ax2+bx+c.
(c)
Solve fg(x)=2.
Question 0
4 marksThe function f is given by f(x)=x−58
(a)
State the domain of the function.
(b)
Work out f(7).
(c)
Work out x when f(x)=0.5
Question 0
4 marksThe function f is given by f(x)=x2−6x+4 with domain 0≤x≤5
Work out the range of the function.
Question 0
6 marksThe function f is given by f(x)=53x−2
(a)
Work out f−1(x).
(b)
Work out f−1(2).
(c)
Solve f(x)=f−1(x).
Question 0
7 marksThe function f is given by f(x)=ax+b where a and b are constants.
f(2)=1 and f−1(11)=−3
(a)
Work out the values of a and b.
(b)
Work out f−1(x).
(c)
Solve ff(x)=x.
Question 0
6 marksThe functions f and g are given by
f(x)=2x+4
g(x)=4x2−8x
(a)
Show that gf(x)=x2+4x
(b)
gf(x)−f−1(x) simplifies to ax2+bx+c
Work out the values of a, b and c.