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3 years ago

Need help on this math problem!!!

Mathematics

1 answer:

Colt1911 [192]3 years ago

4 0

Answer:

$(fof^{-1})(x)=x$

Step-by-step explanation:

Composition of two functions f(x) and g(x) is represented by,

(fog)(x) = f[g(x)]

If a function is,

f(x) = (-6x - 8)² [where x ≤ $-\frac{8}{6}$ ]

Another function is the inverse of f(x),

$f^{-1}(x)=-\frac{\sqrt{x}+8}{6}$

Now composite function of these functions will be,

$(fof^{-1})(x)=f[f^{-1}(x)]$

= $[-6(\frac{\sqrt{x}+8}{6})-8]^{2}$

= $[-\sqrt{x}+8-8]^2$

= $(-\sqrt{x})^2$

= x

Therefore, $(fof^{-1})(x)=x$

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Step-by-step explanation:

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Multiply row 2 by 2 $\left(R_2=\left(2\right)R_2\right)$

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