The domain for f(x) and g(x) is the set of all real numbers. let f(x) = 2x-3 and g(x) = 3x +8 find f(x)g(x). show work

The value of f(x)g(x) is  

Solution:

The domain for f(x) and g(x) is the set of all real numbers

From question give that

f(x) = 2x – 3   -----     (1)

g(x) = 3x + 8  -------      (2)

We need to evaluate f(x)g(x), so we need to multiply eqn 1 and eqn 2

f(x)g(x) = (2x – 3)( 3x + 8)              [Using equation (1) and (2)]

Open the bracket and multiply the terms in above equation,

Hence the value of f(x)g(x) is  

40 is the final : )

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.