SOLUTION: If Q(x)=f(g(x)−h(x)) andf(x)=3x , g(x)=log2(x) , h(x) =log2(x−4). Find the fully simplified expression for Q(x) and the value of Q(8).

Algebra ->  Functions -> SOLUTION: If Q(x)=f(g(x)−h(x)) andf(x)=3x , g(x)=log2(x) , h(x) =log2(x−4). Find the fully simplified expression for Q(x) and the value of Q(8).       Log On


   

Question 1181315: If Q(x)=f(g(x)−h(x)) andf(x)=3x , g(x)=log2(x) , h(x) =log2(x−4). Find the fully simplified expression for Q(x) and the value of Q(8).
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
If
Q%28x%29=f%28g%28x%29-h%28x%29%29+
f%28x%29=3x
g%28x%29=log%282%2Cx%29+
h%28x%29+=log%282%2Cx-4%29
Find the fully simplified expression for Q(x) and the value of Q(8).
Q%28x%29=f%28g%28x%29-h%28x%29%29
Q%28x%29=f%28log%282%2Cx%29+-log%282%2Cx-4%29%29
Q%28x%29=f%28log%282%2Cx%2F%28x-4%29%29%29
Q%28x%29+=3%28log%282%2Cx%2F%28x-4%29%29%29
if x=8
Q%288%29+=3%28log%282%2C8%2F%288-4%29%29%29
Q%288%29+=3%28log%282%2C8%2F4%29%29
Q%288%29+=3%28log%282%2C2%29%29
Q%288%29+=3%281%29
Q%288%29+=3