Question

If f(x) = x ^ 2 and g(x) = x ^ 2 + 1 find (i) g(g(0)) (ii) f(g(2)) .​

Answer 1

2 and 25

Explanation:

(i)

to find g(g(0)) , evaluate g(0) , then substitute the value obtained into g(x)

g(0) = 0² + 1 = 0 + 1 = 1 , then

g(1) = 1² + 1 = 1 + 1 = 2

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(ii)

to find f(g(2)), evaluate g(2) , then substitute the value obtained into f(x)

g(2) = 2² + 1 = 4 + 1 = 5 , then

f(5) = 5² = 25