Question
Download Solution PDFIf f(x) = x2 + 2 and g(x) = 2x - 3 are real function, then (fog) (x) is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
f(x) = x2 + 2 and g(x) = 2x - 3
Concept:
Use concept of composition of functions.
\(\rm (fog)=f(g(x))\)
Calculation:
\(\rm (fog)=f(g(x))\)
\(\rm =f(2x-3)\)
\(\rm =(2x-3)^2+2\)
\(\rm =4x^2-12x+9+2\)
\(\rm =4x^2-12x+11\)
Hence the option (2) is correct.
Last updated on May 26, 2025
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