Question

Determine whether the functions f(x) = -7/5x +4/5 and g(x) = x – 4 intersect at x = 2.

A.No, because f (2) #g(2) when r =
B. No, because f (0) = 9(2) when I = 2.
C. Yes, because f(x) + 9(2) when r = 2.
D. Yes, because f(x) = 9(2) when I = 2.​

Answer 1

Answer:

D. Yes, because f(x) = g(x) when x = 2.​

Step-by-step explanation:

Given the functions f(x) = -7/5x +4/5 and g(x) = x – 4, for the functions to intersect, f(x) must be equal to g(x) i.e f(x) = g(x) at x = 2

-7/5x +4/5= x- 4

If x = 2

f(2) = -7/5 (2)+ 4/5

f(2) = -14/5 + 4/5

f(2) = -10/5

f(2) = -2

g(x) = x - 4

g(2) = 2-4

g(2) = -2

Since f(2) = g(2), hence the lines intersects at x = 2