Question

Given f(x) = 2x and g(x) = 32a, find (f∘g)(2) where x = 20.

Option 1: (f∘g)(x) = 34a
Option 2: (f∘g)(2) = 32
Option 3: (f∘g)(x) = 8/2
Option 4: (f∘g)(x) = 82

Answer 1

To solve (f∘g)(2), we need to know g(2) and then apply f. However, the provided function g(x) = 32a depends on a which is undefined, making it impossible to answer correctly. If a is meant to be x, then none of the given options is correct.

Step-by-step explanation:

To find (f∘g)(2) when given f(x) = 2x and g(x) = 32a, with x being specified as 20, we first apply g to 2, then apply f to the result of g(2). However, without a clear definition of a, or its relation to x, the calculation cannot be completed accurately. The provided options do not make sense with the given functions, especially since g(x) = 32a does not depend on x, and no value for a is given.

Therefore, none of the provided options can be determined as correct without additional information. If we assume there was a typo and that a should actually be x, then g(x) = 32x, and the result of g(2) should be 32*2, which is 64. Applying f to this, we get f(g(2)) = f(64) = 2*64, which equals 128. But this is not included in the options either.