Question Bank - Mathematics

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If f(x) = 4x + 3, then what is f o f o f(-1) equal to?

A.
-1
B.
0
C.
1
D.
2

Solution:

Concept:For any two functions f and g, f o g is defined as f[g(x)].Calculation:Given that,f(x) = 4x + 3 Using the above concept? fof(x) = 4(4x + 3) + 3? fof(x) = 16x + 15 Again using the same concept? fofof(x) = 16(4x + 3) + 15? fofof(x) = 64x + 63Put x = -1 in the above function? fofof(-1) = 64(-1) + 63 = -1? f o f o f(-1) equal to -1.

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