Introduction to math function:
The mathematical concept of a function expresses the intuitive idea that one quantity (the argument of the function, also known as the input) completely determines another quantity (the value, or the output). A function assigns a unique value to each input of a specified type.(source : wikipedia)
An example, the function f(x) = 5x, which assigns to all real number the real number that is three times as big. In this case, we can write f (3) = 15. Please express your views of this topic Types of Functions by commenting on blog.
Examples problem for math function:
1. Add the two function for given functions, f (x) = 6x + 6 and g (x) = 2x + 5 when x = 4 find f (4) + g (4).
Solution:
Given function is f (x) = 6x + 6 and g (x) = 2x + 5
Add the two functions,
f (x) + g (x) = 6x + 6 + 2x + 5
Combine the terms,
= 6x + 2x + 6 + 5
Add the terms,
= 8x + 11
f (x) + g (x) = 8x + 11
When x = 4,
Find the f (4) + g (4),
f (4) + g (4) = 8x +11
Plug x = 4 in the equation,
= 8 (4) + 11
= 32 + 11
= 43
The solution of f (4) + g (4) is 43.
2. Subtract the two function for given functions, f (x) = 3x + 15 and g (x) = 9x + 5 when x = 3 find f (3) + g (3).
Solution:
Given function is f (x) = 3x + 15 and g (x) = 9x + 5
Subtract the two functions,
f (x) + g (x) = 3x + 15 - 9x - 5
Combine the terms,
= 3x - 9x + 15 - 5
Subtract the terms,
= -6x + 10
f (x) + g (x) = -6x + 10
When x = 3,
Find the f (3) + g (3),
f (3) + g (3) = -6x + 10
Plug x = 3 in the equation,
= -6 (3) + 10
= -18 + 10
= -8
The solution of f (3) + g (3) is -8.
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More examples problem for math function:
3. Multiply the two function for given functions, f (x) = x + 5 and g (x) = 2x + 2 when x = 5 find f (5) + g (5).
Solution:
Given function is f (x) = x + 5 and g (x) = 2x + 2
Multiply the two functions,
f (x) + g (x) = (x + 5) × (2x + 2)
Multiply the terms,
= 2x2 + 10x + 2x + 10
Combine the terms,
= 2x2 + 12x + 10
f (x) + g (x) = 2x2 + 12x + 10
When x = 5,
Find the f (5) + g (5),
f (5) + g (5) = 2x2 + 12x + 10
Plug x = 8 in the equation,
= 2(52) + 12 (5) + 10
= 50 + 60 + 10
= 120
The solution of f (5) + g (5) is 120.
The mathematical concept of a function expresses the intuitive idea that one quantity (the argument of the function, also known as the input) completely determines another quantity (the value, or the output). A function assigns a unique value to each input of a specified type.(source : wikipedia)
An example, the function f(x) = 5x, which assigns to all real number the real number that is three times as big. In this case, we can write f (3) = 15. Please express your views of this topic Types of Functions by commenting on blog.
Examples problem for math function:
1. Add the two function for given functions, f (x) = 6x + 6 and g (x) = 2x + 5 when x = 4 find f (4) + g (4).
Solution:
Given function is f (x) = 6x + 6 and g (x) = 2x + 5
Add the two functions,
f (x) + g (x) = 6x + 6 + 2x + 5
Combine the terms,
= 6x + 2x + 6 + 5
Add the terms,
= 8x + 11
f (x) + g (x) = 8x + 11
When x = 4,
Find the f (4) + g (4),
f (4) + g (4) = 8x +11
Plug x = 4 in the equation,
= 8 (4) + 11
= 32 + 11
= 43
The solution of f (4) + g (4) is 43.
2. Subtract the two function for given functions, f (x) = 3x + 15 and g (x) = 9x + 5 when x = 3 find f (3) + g (3).
Solution:
Given function is f (x) = 3x + 15 and g (x) = 9x + 5
Subtract the two functions,
f (x) + g (x) = 3x + 15 - 9x - 5
Combine the terms,
= 3x - 9x + 15 - 5
Subtract the terms,
= -6x + 10
f (x) + g (x) = -6x + 10
When x = 3,
Find the f (3) + g (3),
f (3) + g (3) = -6x + 10
Plug x = 3 in the equation,
= -6 (3) + 10
= -18 + 10
= -8
The solution of f (3) + g (3) is -8.
Is this topic Obtuse Angle Images hard for you? Watch out for my coming posts.
More examples problem for math function:
3. Multiply the two function for given functions, f (x) = x + 5 and g (x) = 2x + 2 when x = 5 find f (5) + g (5).
Solution:
Given function is f (x) = x + 5 and g (x) = 2x + 2
Multiply the two functions,
f (x) + g (x) = (x + 5) × (2x + 2)
Multiply the terms,
= 2x2 + 10x + 2x + 10
Combine the terms,
= 2x2 + 12x + 10
f (x) + g (x) = 2x2 + 12x + 10
When x = 5,
Find the f (5) + g (5),
f (5) + g (5) = 2x2 + 12x + 10
Plug x = 8 in the equation,
= 2(52) + 12 (5) + 10
= 50 + 60 + 10
= 120
The solution of f (5) + g (5) is 120.
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