Math  /  Algebra

QuestionThe function gg is defined by g(x)=x2+9g(x)=x^{2}+9. For which value of xx is g(x)=25g(x)=25 ? A) 4 B) 5 C) 9 D) 13

Studdy Solution
Verify the solutions by substituting back into the function g(x)=x2+9 g(x) = x^2 + 9 :
For x=4 x = 4 : g(4)=42+9=16+9=25 g(4) = 4^2 + 9 = 16 + 9 = 25
For x=4 x = -4 : g(4)=(4)2+9=16+9=25 g(-4) = (-4)^2 + 9 = 16 + 9 = 25
Both values satisfy the equation g(x)=25 g(x) = 25 .
The value of x x that is listed among the options and satisfies g(x)=25 g(x) = 25 is:
4 \boxed{4}

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