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OpenStudy (anonymous):
Consider the functions f(x) = 3x − 2 and g(x) = x2 − 1. What is the value of (f − g)(−2)?
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OpenStudy (jdoe0001):
(f − g)(−2) => f( -2 ) - g( -2 )
OpenStudy (anonymous):
whats the answer though
OpenStudy (jdoe0001):
well, plug in the values and substract them :)
OpenStudy (anonymous):
can you explain it to me though???
OpenStudy (jdoe0001):
\(\bf f(x) = 3x − 2\\
g(x) = x^2 − 1\\
f(-2)= 3(-2) − 2\\
g(-2)= (-2)^2 − 1\)
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OpenStudy (anonymous):
so next would be 4-1 and that's 3 so the answer is 3?
OpenStudy (jdoe0001):
$$ \bf
f(-2)= \color{blue}{3(-2) − 2}\\
g(-2)= \color{green}{(-2)^2 − 1}\\
f(-2)-g(-2) = [\color{blue}{3(-2) − 2}] - [\color{green}{(-2)^2 − 1}]
$$
OpenStudy (anonymous):
I am so lost....
OpenStudy (anonymous):
@Zale101
OpenStudy (anonymous):
I'm help less UGH
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OpenStudy (jdoe0001):
$$\bf f(-2)-g(-2) = [\color{blue}{3(-2) − 2}] - [\color{green}{(-2)^2 − 1}]\\
f(-2)-g(-2) = [-6-2]-[4-1]$$
OpenStudy (jdoe0001):
so
-6-2 = -8
-[4-1] => -[-3] => 3
-8+3
:)
OpenStudy (anonymous):
so -5?
OpenStudy (jdoe0001):
yes
OpenStudy (anonymous):
im sorry I suck at math
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OpenStudy (jdoe0001):
keep in mind that when grouping
- ( 2 + 3) => -1*2 + -1*3 => -2-3
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