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Let f(g(x)) = 3x + 3 and f(x) = x + 6. If g(x) = ax + b, compute a + b.

 Sep 9, 2020
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Let f(g(x)) = 3x + 3 and f(x) = x + 6. If g(x) = ax + b, compute a + b.

 

start with this

f(x)      = x + 6.           and    g(x) = ax + b

f(g(x)) = g(x)+6

so

f(g(x)) = ax+b+6

which means

3x+3=ax+(b+6)

 

now just equate coefficients.     :)

 Sep 9, 2020

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