[Video] Q15: G(x) = 2x -1 h(x) = 1 - g(x) the functions g and h are defined above. what is the value of h(0)?

Explanation for Question 15 From the Math (No Calc) Section on the Official Sat Practice Test 8

So we look at number 15 and it's asking us what the value of 2 H zero is. And so the first thing that we notice is that H 3 of X has G of X written inside of the function. 4 So the first thing that we can do is take the expression that represents 5 G of X and plug it in. So that way we don't have a 6 G of X, but we just have our normal X variables, 7 right? So if H of X is equal to one minus G of X, 8 then H of X will be equal to one minus. 9 And you're going to want to put this in parentheses, whatever you plug in 10 here, because you have that negative sign that we're going to have to worry 11 about next. And G of X is two X minus one. 12 And so now here's where that negative sign comes in. Right? 13 I need to distribute this negative. So I have H of X is equal 14 to one minus two X plus one. 15 We can combine like terms to make it simpler. One plus one is two. 16 So why don't we just call it two minus two X? 17 And now we're looking for HS zero, right? So that means wherever there's an 18 X, I'm going to plug in zero two minus two times zero two times 19 zero is zero. So H of zero is going to be equal to two. 20 And our best answer is D.