SOLUTION: Determine if the statement is true or false. If statement is false, make the necessary change(s) to produce a true statement.
If f (x) = 2^x then f(a+b)= f(a)+f(b)
Question 1188809: Determine if the statement is true or false. If statement is false, make the necessary change(s) to produce a true statement.
If f (x) = 2^x then f(a+b)= f(a)+f(b) Found 2 solutions by Alan3354, ikleyn:Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website! Determine if the statement is true or false. If statement is false, make the necessary change(s) to produce a true statement.
If f (x) = 2^x then f(a+b)= f(a)+f(b)
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f(a) = 2^a
f(b) = 2^b
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f(a+b) = 2^a + 2^b
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Sub a+b for x:
f(a+b) = 2^(a+b)
Therefore, it is false. Answer by ikleyn(52798) (Show Source): You can put this solution on YOUR website! .
The statement is FALSE.
To check that it is false, calculate f(a+b) and f(a) + f(b) at these values a= 1, b= 2.
The correct statement is
f(a+b) = f(a)*f(b).
Check it on your own.