If f(x) = x3 + 4 and g(x) = x + 3, find [g • f](2)?

Answer 1

I'm not sure if you want the function composition or the function product, since a large, filled dot is an unusual symbol.

Composition: [g o f](2) = g(f(2)) = g(2^3 + 4) = g(8 + 4) = g(12) = 12 + 3 = 15

Product: [g * f](2) = (g(2))(f(2)) = (2 + 3)(2^3 + 4) = (5)(8 + 4) = (5)(12) = 60

Answer 2

if g*f: (not sure i understand your notation)

first, multiply f and g:

(x^3+4)(x+3) = x^4+3x^3+4x+12

now analyze at x = 2:

2^4 + 3*2^3+4*2+12 = 16 + 24 + 8 + 12 = 60

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apparently i misunderstood your notation:

(2)^3+4 = 12
g(12) = 12 + 3 = 15

Answer 3

[g dot f] (2) simply means g( f(2) )

So the easiest way is to first find the value for f(2)
f(x) = x^3 + 4
f(2) = 2^3 + 4
f(2) = 12

Then g( f(2) ) = g(12)
g(x) = x + 3
g(12) = 12 + 3
g(12) = 15!

Answer 4

What is (X) (G) and (F)?