Question

The table shows values of a function f(x). What is the average rate of change of f(x) over the interval from x = 5 to x = 9?
|__x__|___4__|___5__|__6___|__7___|__8__|__9__|__10__|
|_f(x)__|__-4__|__-2___|__8___|__10__|__11__|__14__|__18_|

Show your work.

Given, f(x) = 4x^2 + 6x and g(x) = 2x^2 + 13x + 15 , find (f/g)(x)
Show Your work.

Given, f(x) = x^2 - 6x + 8 and g(x) = x - 2, solve f(x) = g(x)
Show Your work.

Plz Help Thanks!!!

Answer 1

rate=[14-(-2)]/(9-5)=16/4=4

f/g = 2x(2x+3)/[(x+5)(2x+3)]= 2x/(x+5)

f=g⇒x2-6x+8=x-2⇒x2-7x+10=0⇒(x-2)(x-5)=0 so, x=2,5 are the solutions