Question
Download Solution PDFIf f(x) = 4x + 3, then what is f o f o f(-1) equal to?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
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 + 63
Put 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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