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Question
Multiple choice question :
Let f and g be two function given by f = {(0, 1), (2, 0), (3, – 4), (4, 2), (5, 7)} g = {(0, 2), (1, 0), (2, 4), (– 4, 2), (7, 0) then the range of fog is
Options
{0, 2, 3, 4, 5}
{– 4, 1, 0, 2, 7}
{1, 2, 3, 4, 5}
{0, 1, 2}
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Solution
{0, 1, 2}
Explanation;
f = {(0, 1) (2, 0) (3, – 4) (4, 2) (5, 7)}
g = {(0, 2) (1, 0) (2, 4) (– 4, 2) (7, 0)}
fog = f[g(x)]
f[g(0)] = f(2) = 0
f[g(1)] = f(0) = 1
f[g(2)] = f(4) = 2
f[g(– 4)] = f(2) = 0
f[g(7)] = f(0) = 1
Range of fog = {0, 1, 2}
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