Question
To funktioner er bestemt ved: \( f(x)=x^{3}+2 x-3 \) og \( g(x)=\sqrt{x}+2 \) Det er også en forudsætning, at \( x \geq 0 \) Bestem: \( g(f(2)) \)
Ask by Joseph Barker. in Denmark
Jan 20,2025
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Answer
\( g(f(2)) = 5 \)
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Lad os først finde \( f(2) \): \[ f(2) = 2^3 + 2 \cdot 2 - 3 = 8 + 4 - 3 = 9. \] Nu hvor vi har \( f(2) = 9 \), kan vi beregne \( g(f(2)) = g(9) \): \[ g(9) = \sqrt{9} + 2 = 3 + 2 = 5. \] Så svaret er \( g(f(2)) = 5 \).
