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Math  /  Algebra

QuestionFind functions ff and gg so that f∘g=Hf \circ g=H. H(x)=x2+17H(x)=\sqrt{x^{2}+17}
Choose the correct pair of functions. A. f(x)=x−17,g(x)=x2f(x)=\sqrt{x}-17, g(x)=x^{2} c. f(x)=x,g(x)=x2+17f(x)=\sqrt{x}, g(x)=x^{2}+17 B. f(x)=x2,g(x)=x−17f(x)=x^{2}, g(x)=\sqrt{x}-17 D. f(x)=x2+17,g(x)=xf(x)=x^{2}+17, g(x)=\sqrt{x}

Studdy Solution
Verify the correct pair of functions:
The correct pair of functions is Option C:
- f(x)=x f(x) = \sqrt{x} - g(x)=x2+17 g(x) = x^2 + 17
The correct pair of functions is:
Option C: f(x)=x, g(x)=x2+17 \boxed{\text{Option C: } f(x) = \sqrt{x}, \, g(x) = x^2 + 17}

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