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Leni [432]
3 years ago
12

If f(x) = 4(3x - 5), find f^-1(x)

Mathematics
1 answer:
Sloan [31]3 years ago
3 0

Answer:

The answer is A.

Step-by-step explanation:

Lets call f(x)=y, so y= 4*(3*x-5), we want to find 'x', using 'y' as a the variable.

y=12x-20\\ y+20=12x\\ x=\frac{y+20}{12}

Now lets change the name of 'y' to 'x', and 'x' to f^-1(x).

f-1(x) = (x+20)/12

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How do you solve this: In ?PQR, PQ = 39 cm and PN is an altitude. Find PR if QN = 36 cm and RN = 8 cm.
ikadub [295]

Answer:

PR = 17 cm


Step-by-step explanation:

Given  :

In ΔPQR,

PQ = 39 cm

PN is an altitude.

QN = 36 cm

RN = 8 cm.

To Find : Length of PR

Solution :

Since we are given that PN is an altitude .

So, PN divides ΔPQR in two right angled triangles named as ΔPQN and ΔPRN. (Refer attached file)

So, first we find Length of PN in ΔPQN using Pythagoras theorem i.e.

(Hypotenuse)^{2}=(Perpendicular)^{2} +(Base)^{2}

(PQ)^{2}=(PN)^{2} +(QN)^{2}

(39)^{2}=(PN)^{2} +(36)^{2}

1521=(PN)^{2} +1296

1521 -1296=(PN)^{2}

225=(PN)^{2}

\sqrt{225} = PN

15 = PN

Thus, Length of PN = 15cm

Now to find length of PR we will use Pythagoras theorem in ΔPRN.

(PR)^{2}=(PN)^{2} +(NR)^{2}

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PR= \sqrt{289}

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Hence the length of PR = 17 cm



3 0
3 years ago
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