NDA2019MathematicsFunctionsActual
If f(x)=3^ 1+x , then f(x) f(y) f(z) is equal to
Options
- Af(x+y+z)
- Bf(x+y+z+1)
- Cf(x+y+z+2)
- Df(x+y+z+3)
Correct answer
C. f(x+y+z+2)
Step-by-step solution
f(x)=3^ 1+x aligned & f ( x ) f ( y ) f ( z )=3^ 1+ x 3^ 1+ y 3^ 1+z & =3^ 1+x+1+y+1+z & =3^ 3+x+y+z & =3^ 1+x+y+z+2 & = f ( x + y + z +2) aligned