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Natali5045456 [20]
3 years ago
6

If F (7) 22, Then F(f-1(22))

Mathematics
1 answer:
jeka57 [31]3 years ago
6 0

Answer:

\boxed{\boxed{f(f^{-1}(22))=22}}

Step-by-step explanation:

\text{If we have}\ f(x)\ \text{and}\ f^{-1}(x),\ \text{then}\\\\\text{if}\ f(a)=b,\ \text{then}\ f^{-1}(b)=a.\\\\\text{Therefore, if}\ f(7)=22,\ \text{then}\ f^{-1}(22)=7.\\\\f(\underbrace{f^{-1}(22)}_{=7})=f(7)=22

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What is the answer to this please show work
MatroZZZ [7]
The picture contains two geometric objects: semicircle and right triangle

First, find the area of semicircle
This is the formula for area of semicircle
a = 1/2 × area of circle
a = 1/2 × π × r²

Before we find the area, we should determine the value of r. Given from the question that the diameter is equals to 8 m. Radius (r) is half of diameter (d)
r = 1/2 d
r = 1/2 × 8
r = 4 m

Caculate the area
a = 1/2 × π × r²
a = 1/2 × 3.14 × 4²
a = 1/2 × 3.14 × 16
a = 1/2 × 50.24
a = 25.12 m²

Second, find the area of the right triangle
The formula is
a = 1/2 × b × h

Given from the question that the base (b) is 12 m, and the height (h) is 8 m.

Calculate the area, input the value of b and h to the formula
a = 1/2 × b × h
a = 1/2 × 12 × 8
a = 1/2 × 96
a = 48 m²

Third, sum both area
a = area of semicircle + area of right triangle
a = 25.12 + 48
a = 73.12 m²

Solution:
The area is 73.12 m²
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Step-by-step explanation:

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