Question

G(x)=|4x-7|
find 2g(-5)

Answer 1

To calculate 2g(-5) for the function g(x) = |4x - 7|, we substitute -5 into the function, apply the absolute value, and multiply the result by 2, which gives us a final answer of 54.

Step-by-step explanation:

To find 2g(-5) for the function g(x) = |4x - 7|, we need to substitute x with -5 and then apply the absolute value. Afterwards, we multiply the result by 2:

1. Substitute -5 into the function: g(-5) = |4(-5) - 7| = |-20 - 7| = | -27 |.
2. Apply the absolute value: | -27 | = 27.
3. Multiply the result by 2: 2 × 27 = 54.

Therefore, 2g(-5) is 54.