F(x) = x2 + 1 g(x) = 5 – x (f + g)(x) =
2 answers:
<em>A function f (x) and g (x) then:</em>
<em>(f + g) (x) = x² - x + 6</em>
<em>Further explanation</em>
Like the number operations we do in real numbers, operations such as addition, installation, division or multiplication can also be done on two functions.
Suppose a function f (x) and g (x) then:
(f + g) (x) = f (x) + g (x)
(f + g) (x) is a new function of the sum of f (x) and g (x)
Likewise with other function operations:
(f-g) (x) = f (x) - g (x)
(fg) (x) = f (x) x g (x)
(f / g) (x) = f (x) / g (x)
In addition to the above operations we can combine two functions using the function composition with the symbol o
(fog) (x) = f ((g (x))
Known on the question
f (x) = x² + 1
g (x) = 5 x
Summing the two functions f (x) and g (x):
(f + g) (x) = f (x) + g (x)
(f + g) (x) = x² + 1 + 5 - x
(f + g) (x) = x² - x + 6
<h3><em>Learn more</em></h3>F (x) and g (x) functions
function h (x) = f (x) ∘ g (x)
Find the function rule for g (x)
Keywords: f (x) and g (x) functions, function operations, addition, subtraction, division, multiplication
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Based on the calculations, we have the following:
- The area of the sheet of paper is 96 square inches.
- The combined area of the triangle cutouts is equal to 36 square inches.
- The area of the parallelogram is equal to 60 square inches.
- The altitude of the parallelogram is equal to 6.51 square inches.
<u>Given the following data:</u>
- Dimension of paper = 12-inch by 8-inch.
Mathematically, the area of the paper is given by this formula:
Area = 96 square inches.
<u>For the four (4) right triangles:</u>
- Dimension 1 = 2 inches by 9 inches.
- Dimension 2 = 3 inches by 6 inches.
Therefore, the combined area of the triangle cutouts is given by:
This would be determined by subtracting the area of the four (4) right triangles from the areas of the paper as follows:
P = 60 square inches.
<h3>The altitude of the parallelogram.</h3>Altitude = 6.51 square inches.
Read more on parallelogram here: brainly.com/question/4459854
<u>Complete Question:</u>
A parallelogram is cut out of a 12-inch by 8-inch sheet of paper. There are four right triangle remnants. Two have the dimensions 2 inches by 9 inches, and the other two have the dimensions 3 inches by 6 inches. The resulting parallelogram has a base of approximately 9.22 inches.