Blue Book Question

<p>Please help me on this problem.</p>

<p>Page 534 #13</p>

<p>Let the function "f" be defined by f(x) = x + 1. If 2f(p)=20, what is the value of f(3p)?</p>

<p>Thanks in advance.</p>

<p>I also stumbled upon another one (same test). </p>

<p>pg 532 #6</p>

<p>If m and k are positive and 10(m^2)(k^-1) = 100m, what is (m^-1) in terms of k?</p>

<p>A) k/10
B) k/90
C) SqRt(k)/10
D) 1/10k
E) 1/90k</p>

<p>I'd be really grateful it if someone can give me a brief walkthrough.</p>

<p>Blue Book Page 434 #13</p>

<p>2f(p)=20
f(p)=10</p>

<p>since f(x)=x+1, f(p)=p+1</p>

<p>10=p+1 so p=9</p>

<p>f(3p)=f(3*9)=f(27)=27+1=28</p>

<p>page 532 #6</p>

<p>m^-1 is the same as m/m^2</p>

<p>you want get m/m^2 on one side of the equation.</p>

<p>If you divide both sides of the equation by m^2 you get</p>

<p>10/k=100*(m/m^2) since k^-1=1/k</p>

<p>divide both sides by 100 to solve for m/m^2 and since m/m^2=m^-1</p>

<p>m^-1=1/10k or D</p>

<p>Doh. I was wondering why it was 28 instead of 27 for the first one. </p>

<p>Thanks for the thorough explanations.</p>