The value of (gof)(12) is 2.602.
Given,
F(x) = log2x and g(x) = 2^x.
We need to find the value of (g-f)(12).
What is a composite function?
In a composite function, we have two functions where one function range becomes the domain for the other function.
We have f(x) and g(x).
The composite function is denoted by:
(g o f) (x) = g ( f(x) )
Where f: A ⇒ B and g: B → C
We have,
F(x) = log2x and g(x) = 2^x
We need to find (g o f)(12)
Now,
Applying the composite formula
(g o f)(12)
= g ( f(12) )
= g ( 1.38)
= 2.602
f(x) = log2x
f(12) = log(2x12) = log 24 = 1.38
g(x) = 2^x
g(1.38) = 2^1.38 = 2.602
Thus the value of ( g o f ) (12) is 2.602.
Learn more about composite function here:
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