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3 years ago

For the function f(x)=8(x+10), find f^-1(x)

1 answer:

6 0

In other words, find the inverse of the given function f(x).

1. Replace f(x) with "y." y = 8(x+10)
2. Interchange x and y: x = 8(y+10)
3. Solve this for y: y+10 = x/8, or y = x/8 - 10

-1
4. Replace "y" with "f (x) "

-1 x-80
f (x) = ---------- (Answer)
8

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2 points

natima [27]

Answer:

4.9 feet

Step-by-step explanation:

First, we need to determine the height of the building using the following:

$L^2 = H^2 + B^2$

Where

H = Height of the building

L = Length of the first ladder = 20ft

B = Distance from the base of the building = 10ft

So, we have:

$20^2 = H^2 + 10^2$

$400 = H^2 + 100$

$H^2 = 400 - 100$

$H^2 = 300$

$H = \sqrt{300$

Next, is to determine the distance of the new ladder from the base of the building (B) using Pythagoras theorem using:

$L_2^2 = H^2 + B_2^2$

Where

$L_2 = 18$ --- Length of the second ladder

$H = \sqrt{300$ ----- Height of the building

So, we have:

$18^2 = \sqrt{300}^2 + B_2^2$

$324 = 300 + B_2^2$

$B^2_2 = 324 - 300$

$B^2_2 = 24$

Solving for B2, we have:

$B_2 = \sqrt{24$

$B_2 = 4.9$

8 0

3 years ago

Rajni bought 2 1/2 kg onion at ₹ 30 1/2 per kg. Find the amount spent by Rajni

tia_tia [17]

Step-by-step explanation:

Given that

The cost of 1 kg onions = Rs. 30 1/2

The cost of 1 kg onions = Rs. 61/2

If Rajini bought 2 1/2 kg onions then

The total cost of 2 1/2 kg onions

→ 2 1/2 ×( 61/2)

→ (5/2)×(61/2)

→ (5×61)/(2×2)

→305/4

Rs. 305/4 or Rs. 76 1/4

The cost of 2 1/2 kg onions is Rs. 76 1/4.

5 0

3 years ago

Which graph represents (y-3)^2/25 + (x+1)^2/4 > 1 and y <= square root{x+5}+2

Serjik [45]

Answer: graph №2.

Step-by-step explanation:

$The\ graph\ \frac{(y-3)^2}{25}+\frac{(x+1)^2}{4} > 1\ is\ shown\ in\ fig. 1\ (see \ below).\\The\ graph\ y\leq \sqrt{x+5}+2 \ is\ shown\ in\ fig. 2\ (see\ below).\\$