If f(x) and its inverse function, f(x), are both plotted on the same coordinate plane, where is their point of intersection?

Mathematics

1 answer:

Tcecarenko [31]3 years ago

7 0

Answer:

(2,2)

Step-by-step explanation:

The graph of a function and that of its inverse should be always symmetric around the line y = x (goes at 45 degrees and crosses the origin of coordinates).

Therefore any intersection of the graphs must lie on the line y = x, which forces the x value of the intersection point to be the same as the y-value.

The only option shown where x and y have the same numerical value is the third listed option : (2,2)

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The roof of the building shown below has a span of 48 feet. The rafters upon which the roof is laid are 30 feet long, including

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Solution :

Given :

Span of the roof = 48 feet

Length of the rafter = 30 feet (including the 4 feet overhung)

So, for the 30 feet long rafter, 26 feet will be rafter length from the high point of the roof to the edge of the roof and 4 feet will be the roof overhung.

Therefore, the horizontal span per rafter is

$=\frac{48}{2}$