If f(x)= log2[size=7]x and g(x)= 2x squared +14, determine the value of (f o g)(5)
H hmelon7 New member Joined Feb 1, 2010 Messages 1 Feb 1, 2010 #1 If f(x)= log2x and g(x)= 2x squared +14, determine the value of (f o g)(5)
A Aladdin Full Member Joined Mar 27, 2009 Messages 553 Feb 1, 2010 #2 ------------ [fog](5) = [f(g(5)]] . g(5) = 2x^2 +14 = 2(25) + 14 = 50 + 14 = 64 ==> f(64) = log(2(64)) = log(128) .
------------ [fog](5) = [f(g(5)]] . g(5) = 2x^2 +14 = 2(25) + 14 = 50 + 14 = 64 ==> f(64) = log(2(64)) = log(128) .
S soroban Elite Member Joined Jan 28, 2005 Messages 5,586 Feb 2, 2010 #3 Hello, hmelon7! I think I know what you meant . . . \(\displaystyle \text{If }f(x)\,=\, \log_2(x)\,\text{ and }\,g(x)\,=\, 2x^2 +14,\,\text{ determine the value of }(f \circ g)(5)\) Click to expand... \(\displaystyle g(5) \:=\:2(5^2) + 14 \:=\:64\) \(\displaystyle f(64) \:=\:\log_2(64) \:=\log_2(2^6) \:=\:6\)
Hello, hmelon7! I think I know what you meant . . . \(\displaystyle \text{If }f(x)\,=\, \log_2(x)\,\text{ and }\,g(x)\,=\, 2x^2 +14,\,\text{ determine the value of }(f \circ g)(5)\) Click to expand... \(\displaystyle g(5) \:=\:2(5^2) + 14 \:=\:64\) \(\displaystyle f(64) \:=\:\log_2(64) \:=\log_2(2^6) \:=\:6\)
