NataschaN37331 NataschaN37331

30-10-2022
Mathematics

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Given that f (x) and g(2) are inverse functions, and f(-3) = 4, find the value of:2f(-3) +39(4)Question 7

Given that f x and g2 are inverse functions and f3 4 find the value of2f3 394Question 7 class=

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KalaysiaT145118 KalaysiaT145118

30-10-2022

If f(x) and g(x) are inverses of each other, then

[tex]f^{-1}(x)\text{ = g(x)}[/tex]

In the equation, f(-3) = 4, then g(4) = -3.

Therefore, 2f(-3) + 3g(4) = 2(4) + 3(-3)

This gives 8 + (-9) = 8 - 9 = -1

Answer = -1

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