Given that f(x) = x-1, g(x) = -2x and h(x) = -f(x+2) - 2g(x-3), what is the value of h(5)?

General
1

Given that f(x) = x-1, g(x) = -2x and h(x) = -f(x+2) - 2g(x-3), what is the value of h(5)?

2

Given that f(x) = x-1, g(x) = -2x and h(x) = -f(x+2) - 2g(x-3), what is the value of h(5)?

Answer:
To find the value of h(5), we need to substitute x = 5 into the expression for h(x) and simplify the expression. Given that f(x) = x-1 and g(x) = -2x, we can proceed as follows:

h(x) = -f(x+2) - 2g(x-3)
Substitute f(x) and g(x) into the expression for h(x):
h(x) = -((x+2)-1) - 2(-2(x-3))
Simplify the expression further:
h(x) = -(x+1) + 4(x-3)
h(x) = -x - 1 + 4x - 12
h(x) = 3x - 13

Now, substitute x = 5 into the expression to find h(5):
h(5) = 3*5 - 13
h(5) = 15 - 13
h(5) = 2

Therefore, the value of h(5) is 2.