If f(x) = 2[to the power of x] + 2[to the power of negative x], find f(1), f(2) and f(-2). Is f(-6)= f(6)
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OpenStudy (owlfred):
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OpenStudy (anonymous):
f(1) = 3/2
OpenStudy (anonymous):
f(1)=2+1/2=5/2
f(2)=4+1/4=17/4
f(-2)=1/4+4=17/4
OpenStudy (anonymous):
the function is even so for all x f(x)=x(-x)
so f(6)=f(-6)
OpenStudy (anonymous):
him is wrong here..
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OpenStudy (anonymous):
How did you get that answer though? :L
OpenStudy (anonymous):
doing...
OpenStudy (anonymous):
\[f(x)=2^x+2^{-x}\]\[f(x)=2^x+\frac{1}{2^x}\]now put the values of x..
OpenStudy (anonymous):
So basically I just have to substitute the 'x' values for the equation, and that's it?
OpenStudy (anonymous):
\[f(-x)=2^{-x}+2^{-(-x)}=2^{-x}+2^x=f(x)\]
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