SOLUTION: Suppose that f(x) = x - 8 and g(x) = -3x+4. (a) Solve f(x) = g(x). What is the value of f at the solution? What point is on the graph of f? What point is on the graph of g? (b) S

Algebra ->  Graphs -> SOLUTION: Suppose that f(x) = x - 8 and g(x) = -3x+4. (a) Solve f(x) = g(x). What is the value of f at the solution? What point is on the graph of f? What point is on the graph of g? (b) S      Log On


   

Question 1085859: Suppose that f(x) = x - 8 and g(x) = -3x+4.
(a) Solve f(x) = g(x). What is the value of f at the solution? What point is on the graph of f? What point is on the graph of g?
(b) Solve f(x) > g(x).
(c) Graph f(x) and g(x) in the same Cartesian plane. Label the intersection point.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose that f%28x%29+=+x+-+8 and g%28x%29+=+-3x%2B4.
(a)
Solve f%28x%29+=+g%28x%29. What is the value of f at the solution? What point is on the graph of f? What point is on the graph of g?
f%28x%29+=+g%28x%29
x+-+8+=+-3x%2B4
x+%2B3x+=+8%2B4
4x+=+12
x=3
the value of f at the solution:
f%28x%29+=+3+-+8
f%28x%29+=++-+5
and, the point is on the graph of f is (3,-5)
since x=3 is the value for what f%28x%29+=+g%28x%29, the point on the graph of g is same, (3,-5) and it is the intersection point


(b) Solve f%28x%29+%3E+g%28x%29.
f%28x%29+%3E+g%28x%29
x+-+8+%3E+-3x%2B4
x+%2B3x+%3E+8%2B4
4x+%3E12
x%3E3

(c) Graph f%28x%29 and g%28x%29 in the same Cartesian plane. Label the intersection point.