Q. Let $R$ be the set of real numbers and the mapping $f:R \rightarrow R$ and $g:R \rightarrow R$ be defined by $f(x) = 5 - x^{2}$ and $g(x) = 3x - 4$, then the value of $(fog)( - 1)$ is

A) -44
B) -54
C) -32
D) -64
Explanation

(a)
$fog( - 1) = f\{ g( - 1)\}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = f( - 7) = 5 - 49 = - 44$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.