SOLVE FOR X IN RELATIONS AND FUNCTIONS WORKSHEET

Problem 1 :

If f(x) = √(3x – 20), what value of x does f(x) = 4 ?

Solution

Problem 2 :

If g(x) = √(5x + 19) + 20, what value of x does g(x) = 27 ?

Solution

Problem 3 :

If h(x) = 2x³ – 19, what value of x does h(x) = 231?

Solution

Problem 4 :

(a) Determine whether the graph illustrated represents a function.

(b) Give the domain and range of each function or relation in interval notations.

(c)  Approximate the value or values of x where y = 2.

Solution

Problem 5 :

(a) Determine whether the graph illustrated represents a function.

(b) Give the domain and range of each function or relation in interval notations.

(c) Approximate the value or values of x where y = 2.

Solution

Problem 6 :

If G(x) = (2x + 3)/(x – 4) :

a. evaluate i G(2)  ii G(0)  iii G(-1/2)

b. find a value of x where G(x) does not exist.

c. find G(x + 2) in simplest form

d. find x if G(x) = -3.

Solution

Problem 7 :

If the value of a photocopier t years after purchase is given by V(t) = 9650 – 860t euros :

a. find V(4) and state what V(4) means

b. find t when V(t) = 5780 and explain what this represents

c. find the original purchase price of the photocopier.

Solution