3 years ago

How many kilometers can that tortoise walk in 1 hour

Mathematics

1 answer:

vfiekz [6]3 years ago

6 0

5 kilometers

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Answer:

The inverse of the function h(x) is $h^{-1}(x)=\frac{2}{5}x-\frac{8}{5}$ .

Step-by-step explanation:

The given function is

$h(x)=\dfrac{5}{2}x+4$

Replace h(x) by y.

$y=\dfrac{5}{2}x+4$

Interchange x and y.

$x=\dfrac{5}{2}y+4$

Subtract 4 from both sides to isolate variable y,

$x-4=\dfrac{5}{2}y$

Multiply both sides by 2.

$2x-8=5y$

Divide both sides by 5.

$\frac{2}{5}x-\frac{8}{5}=y$

Replace y by h⁻¹(x).

$h^{-1}(x)=\frac{2}{5}x-\frac{8}{5}$

Therefore the inverse of the function h(x) is $h^{-1}(x)=\frac{2}{5}x-\frac{8}{5}$ .

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