The correct answer is: " 10 " .
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→ " f(-3) = 10 " .
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Explanation:
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Given:
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f(x) = 7 − x ; if: x ≤ -3 ;
f(x) = x + 4 ; if: x > -3 ;
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Find: " f(-3) " :
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Note: " f(x) = f(-3) " ; → " x = - 3 " ;
Since " x = - =3 " ; → x is NOT greater than "-3" ;
→ So; " f(x) does NOT equal " x + 4" ;
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Consider our other option given:
We have "x = -3 " .
We our given: If " x ≤ -3 " ; {that is; if "x" is less than or equal to "-3" };
→ then: " f(x) = 7 − x " .
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Since: " x = - 3 " ;
→ then " x ≤ -3 " ; and:
→ f(x) = 7 − x ;
THEN:
→ f(-3) = 7 − (-3) ; → Note: Plug in "-3" for the value(s) of "x" in the equation;
and solve:
→ = 7 + 3 ;
= 10 .
___________________________________________________→ f(-3) = 10 .
_____________________________________The answer is: " 10 " .
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Hope this answer — and explanation — is helpful to you.
Best wishes in your academic pursuits!
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