$$\begin{aligned}& g(x)=2 x-1 \\& h(x)=1-g(x)\end{aligned}$$The functions $g$ and $h$ are defined above. What is the value of $h(0)$ ?
SAT · Math · previous-year question
- A.-2
- B.0
- C.1
- D.2correct
Answer
D. 2
Explanation
Choice D is correct. Since $h(x)=1-g(x)$, substituting 0 for $x$ yields $h(0)=1-g(0)$. Evaluating $g(0)$ gives $g(0)=2(0)-1=-1$. Therefore, $h(0)=1-(-1)=2$.Choice $A$ is incorrect. This choice may result from an arithmetic error. Choice B is incorrect. This choice may result from incorrectly evaluating $g(0)$ to be 1 . Choice $\mathrm{C}$ is incorrect. This choice may result from evaluating $1-0$ instead of $1-g(0)$.
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