Answer:
x = 0 , x = -2
Explanation:
The function given to us is:
f(x) = 3/2x - 5
g(x) = x² + 2x
We have to find the input x, for which the output of the function g(x) becomes 0.
It means that there is no use for the function f(x) in this question, so discard it
Substitute g(x) = 0 into the given equation of g(x):
g(x) = x² + 2x
0 = x² + 2x
Take x common from both the terms:
x(x+2) = 0
Thus, the values of x can be written as:
x = 0 , x + 2 = 0
x = 0 , x = -2