# Functions defined by integrals challenge

### Problem

The graph of the function space, g, space is composed of three segments as shown. The function space, G, left parenthesis, x, right parenthesis, space is defined by the integral expression
space, G, left parenthesis, x, right parenthesis, equals, integral, start subscript, minus, 4, end subscript, start superscript, x, end superscript, g, left parenthesis, t, right parenthesis, space, d, t, space.
Determine all space, x, space so that space, G, left parenthesis, x, right parenthesis, equals, 0, space.