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vekshin1
3 years ago
9

Which function, g or h, is the inverse for function f?

Mathematics
1 answer:
nalin [4]3 years ago
4 0

Answer:

Option C - The function g, because the graphs of f and g are symmetrical about the line y=x

Step-by-step explanation:

Figuratively, the inverse of any function is function gotten after raising the initial function to the power of "minus 1". For example, the inverse of a function x² + 1 is equal to

\frac{1}{x^{2} + 1}  and this is also equal to (x² + 1)^-1

In geometry, symmetry implies a uniformity around a particular axis or area.

Looking at the graph, it is obvious that the graph of f and the graph of g are symmetrical about the line y=x

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The total area of the polygon is 176 square feet. Find the value of x.
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Step-by-step explanation:

Total area of the given polygon = Area of triangle 1 + Area of rectangle 2 + Area of triangle 3

Area of triangle 1 = Area of triangle 3 = \frac{1}{2}(\text{Base})(\text{Height})

                                                              = \frac{1}{2}(x)(8)

                                                              = 4x square feet

Area of rectangle 2 = Length × Width

                                 = 16 × 8

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Total area of the given polygon = 4x + 128 + 4x

176 = 8x + 128

8x = 176 - 128

x = \frac{48}{8}

x = 6 ft

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