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g(x)=2x-1 h(x)=1-g(x) The functions ...

g(x)=2x-1
h(x)=1-g(x)
The functions g and h are defined above. What is the value of h(0) ?

A

`-2`

B

0

C

1

D

2

Text Solution

AI Generated Solution

The correct Answer is:
To find the value of \( h(0) \), we will follow these steps: 1. **Identify the functions**: We have two functions defined as: \[ g(x) = 2x - 1 \] \[ h(x) = 1 - g(x) \] 2. **Substitute \( x = 0 \) into \( h(x) \)**: We need to find \( h(0) \): \[ h(0) = 1 - g(0) \] 3. **Calculate \( g(0) \)**: Now we need to find \( g(0) \) using the function \( g(x) \): \[ g(0) = 2(0) - 1 = 0 - 1 = -1 \] 4. **Substitute \( g(0) \) back into \( h(0) \)**: Now we can substitute \( g(0) \) back into the equation for \( h(0) \): \[ h(0) = 1 - (-1) = 1 + 1 = 2 \] 5. **Final answer**: Thus, the value of \( h(0) \) is: \[ \boxed{2} \]

To find the value of \( h(0) \), we will follow these steps: 1. **Identify the functions**: We have two functions defined as: \[ g(x) = 2x - 1 \] \[ ...
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