Question

Given the functions: f(x)=-7x,g(x)=|x+6|,h(x)=(1)/(x+7) Evaluate the function (f-g)(x) for x=5

Answer 1

To evaluate (f-g)(x) for x=5, substitute the value of x into each function and subtract g(x) from f(x).

Step-by-step explanation:

The function (f-g)(x) represents the subtraction of g(x) from f(x). To evaluate (f-g)(x) for x=5, we substitute the value of x into each function and subtract g(x) from f(x).

Given f(x)=-7x, g(x)=|x+6|, and x=5, we have:

f(5) = -7(5) = -35

g(5) = |5+6| = 11

Therefore, (f-g)(5) = f(5) - g(5) = -35 - 11 = -46.

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