Given the funtion f(x)=-4-x: A. Evaluate: f(-2) B. Solve for x when f(x) =-8

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

3 0

f(x)=-4-x

A. f(-2)=-4-(-2)=-4+2=-2

f(-2)=-2

B. f(x)=8

-4-x=8 /+4

-x=12 /*(-1)

x=-12

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$|p+2| = \begin{cases} p+2 &\text{ if } p+2 \geq 0 \\-p-2 &\text{ if } p+2 < 0 \end{cases}$

So, we have to solve two different equations, depending of the possible range for the variable. We have to remember about these ranges when we decide to accept or discard the solutions:

Suppose that $p+2\geq 0 \iff p \geq -2$