Question

WILL GIVE BRAINLIEST FOR CORRECT ANSWER! Two functions are defined as shown. f(x) = f(x) equals negative StartFraction 1 Over 2 EndFraction x minus 2. x – 2 g(x) = –1 Which graph shows the input value for which f(x) = g(x)?

Answer 1

Answer:

$x=-2$

Step-by-step explanation:

The given functions are:

$f(x)=-\frac{1}{2}x-2\\ g(x)=-1$

To find the input value where both functions are equal, we solve:

$f(x)=g(x)\\-\frac{1}{2}x-2=-1\\-\frac{1}{2}x=-1+2\\-\frac{1}{2}x=1\\x=-2$

Let's see if $x=-2$ makes equal this pair of functions:

$f(x)=-\frac{1}{2}x-2$

$f(-2)=-\frac{1}{2}(-2)-2$

$f(-2)=1-2=-1$

So, $f(-2)=-1$, and $g(-2)=-1$

Therefore, when $x=-2$, $f(x)=g(x)$

Answer 2

Answer:

f(2) = g(2) = -1

Step-by-step explanation: