Question

Let f(x)=x-x+9 and g(x)= - 4x +9. Find g(3) and f(g(3)).
g(3) = (Simplify your answer.)

Answer 1

Answer: g(3) = 0 and f(g(3)) = 9.

Explanation:

To find g(3), we plug in 3 for x in the expression for g(x):

g(3) = -4*3 + 9 = -9 + 9 = 0

To find f(g(3)), we first need to find the value of g(3). We already found that g(3) = 0, so we can plug this value into the expression for f(x) to get:

f(g(3)) = f(0) = 0 - 0 + 9 = 9

Therefore, g(3) = 0 and f(g(3)) = 9.

Answer 2

g(3) = -3

f(-3) = 9

Explanation:

f(x)=x - x + 9

g(x)= -4x + 9

g(3) = -4(3) + 9 ==> plugin 3 for x in g(x)= -4x + 9

g(3) = -12 + 9

g(3) = -3

f(g(3)) =

f(-3) = ==> plugin -3 for g(3)

f(-3) = -3 - (-3) + 9 ==> plugin -3 for x in f(x)=x - x + 9

f(-3) = -3 + 3 + 9 ==> subtracting a negative number is equivalent to

adding by a positive number. Hence x - (-3) = x + 3

f(-3) = 0 + 9 ==> simplify

f(-3) = 9