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Mandarinka [93]
3 years ago
8

What is the inverse of the function f(x) = one-quarterx – 12? h(x) = 48x – 4 h(x) = 48x + 4 h(x) = 4x – 48 h(x) = 4x + 48

Mathematics
2 answers:
Tanya [424]3 years ago
5 0

Answer:

D. h(x) = 4x + 48

NISA [10]3 years ago
4 0

Answer:

The inverse function h(x) = 4x + 48

Step-by-step explanation:

Here, we want to find the inverse of a function

The function is;

f(x) = x/4 -12

now, let this value equals m

so;

m = x/4 -12

we now try and make x the subject formula and this gives us the inverse.

m = (x-48)/4

4m = x -48

x = 4m + 48

substitute m for x

which implies 4x + 48

This is the inverse of the function

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Line segment YV of rectangle YVWX measures 24 units.
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Answer: 8√3

<u>Step-by-step explanation:</u>

ΔXVW is a 30°-60°-90° triangle. This special triangle has corresponding sides of lengths: b - b√3 - 2b.  So,

VW = b

XW = b√3

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Since, YV = 24, then XW = 24 and we stated above that XW = b√3. So,

24 = b√3

\frac{24}{\sqrt{3}} = \frac{b\sqrt{3}}{\sqrt{3}}

\frac{24}{\sqrt{3}} = b

\frac{24}{\sqrt{3}}(\frac{\sqrt{3}}{\sqrt{3}}) = b

\frac{24\sqrt{3}}{3} = b

8√3 = b

We are looking for side YX which is congruent (equal) to VW and we stated above that VW = b, So, VW = 8√3

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