Plug in 10 for x in h(x) then simplify
h(10)=2(10)-8
h(10)=20-8
h(10)=12
h(10) is 12 so put 12 in for g(x)
g(h(10))=12-4
g(h(10))=8
Here’s everything together
g(h(10))=(2(10)-8)-4
=(20-8)-4
=(12)-4
=8
This is what I’ve always done. I can’t really tell what your answers are so sorry if this isn’t right at all.
The given function is f(z)=3z-8 for the values f(-4), f(2) and f(z-7) respectively -20, -2 and 3z-29 respectively.
The given function is f(z)=3z-8.
We need to find the value of f(-4), f(2), f(z-7).
<h3>What is a function?</h3>
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
Now to find f(-4), replace z from -4.
f(-4)=3(-4)-8=-12-8=-20
Now to find f(2), replace z from 2.
f(2)=3(2)-8=6-8=-2
Now to find f(z-7), replace z from z-7.
f(z-7)=3(z-7)-8=3z-21-8=3z-29.
Therefore, the given function is f(z)=3z-8 for the values f(-4), f(2) and f(z-7) respectively -20, -2 and 3z-29 respectively.
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Answer:
7.093 cm
Step-by-step explanation:
Answer:
Step-by-step explanation:
The total surface area of the cone is 542.592 square mm
<h3>Total surface area of a cone</h3>
The formula for calculating the total surface area of a cone is expressed as:
TSA = πr(r + l)
where
r is the radius of the cone
l is the slant of the cone
Given the following parameter
l = 13.6mm
r = 8mm
Substitute
TSA = π(8)(8+13.6)
TSA = 3.14(8)(21.6)
TSA = 542.592 square mm
Hence the total surface area of the cone is 542.592 square mm
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