SOLUTION: f(x)=4x-3 and g(x)=(x+3)/4 a) Find the function fg(x) Hence describe the relationship between the functions f and g. b) Write down the exact value of fg(sqrt(3))

Algebra ->  Functions -> SOLUTION: f(x)=4x-3 and g(x)=(x+3)/4 a) Find the function fg(x) Hence describe the relationship between the functions f and g. b) Write down the exact value of fg(sqrt(3))      Log On


   

Question 678660: f(x)=4x-3 and g(x)=(x+3)/4
a) Find the function fg(x)
Hence describe the relationship between the functions f and g.
b) Write down the exact value of fg(sqrt(3))
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=4x-3 and g(x)=(x+3)/4
a) Find the function fg(x)
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Comment: I'm going to assume you mean fog(x)
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fog(x) = f[(x+3)/4] = 4[(x+3)/4] - 3 = x+3-3 = x
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Hence describe the relationship between the functions f and g.
Ans: f and g are inverse functions---each function undoes what
the other function does.
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b) Write down the exact value of fog(sqrt(3)) = sqrt(3)
You feed sqrt(3) to g and it gives you g(sqrt(3))
You then feed g(sqrt(3)) to f and it gives you back sqrt(3)
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Cheers,
Stan H.