Question

What is he value of F(-3)

Answer 1

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 .

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→  f(-3)  =  10  .

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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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