Given that a and b are real numbers, let f(a, b) = ab and let g(a) = a

Question

Given that a and b are real numbers, let f(a, b) = ab and let g(a) = a^2 + 2. Then f  =

(A) 3a^2 + 2
(B) 3a^2 + 6
(C) 27
(D) 29
(E) 33

genericUser · Answer

Given that a and b are real numbers, let f(a, b) = ab and let g(a) = a^2 + 2. Then f  =

f  = f  = 3 * 11 = 33

E) is correct

sanjitscorps18 · Answer

Lets take g(3) first
g(3) = 3^2 + 2 = 11

Now f  = f  = 3 x 11 = 33
Option E

BrushMyQuant · Answer

Given that f(a, b) = ab and g(a) = a^2 + 2 and we need to find the value of f

To find the value of f , lets first substitute the value of g(3)

To find g(3) we need to compare what is inside the bracket () in g(3) and g(a)

=> We need to substitute a with 3 in g(a) = a^2 + 2 to get the value of g(3)

=> g(3) = 3^2 + 2 = 9 + 2 = 11

=> f  = f  = 3*11 = 33

So,  Answer will be E 
Hope it helps!

Watch the following video to learn the Basics of Functions and Custom Characters

https://www.youtube.com/watch?v=b7JoMX0gk8M

krunal02 · Answer

f(a,b) = ab

Now, f(3,g(3)) means a=3 and b=(3^2+ 2)

So, f(3,g(3))= 3*(11) = 33

Correct ans is E.

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