<p>I suck at functions, and I couldn't do this question in the big blue book</p>
<p>It is on pg411, number 13</p>
<p>The figure above shows the graph of y=g(x). If the function h is defined by h(x)=g(2x)+2, what is the value of h(1)?</p>
<p>I can't duplicate the figure on the computer, but I would appreciate any method for solving the problem :)</p>
<p>h(x) = g(2x) + 2
h(1) = g(2*1) + 2
h(1) = g(2) + 2</p>
<p>Look up the point (2, g(2)) on the graph, to find the value of g(2), which ends up being 1.
h(1) = 1 + 2 = 3
h(1) = 3</p>
<p>I hope that helps ya.</p>
<p>why is the point (2, g(2)) (where did you get the 2)</p>
<p>hey thanks but why 2?</p>
<p>they've told you that x=1 as it applies to the function h, so you go and plug in 1 for x in g(2x)...that solves out to g(2) in the function g(x). you then look at the graph of g(x) at the x-axis value of 2 and follow it up 'til you get to the line...you should see 1 as the y-value. you now have the answer to g(2x)...add 2 to that number as per the original equation, and your answer is three</p>
<p>the 2 came from plugging 1 in for x in g(2x) because the basic definition of a function is g(x)</p>