Use the graphs of f and g at the right to answer the followi

Use the graphs of f and g at the right to answer the following. a). Find g[f(0)]. b). Find f[g(-1)]. c). Find g[f(-4)]. d). Find f[g(-4)]. e). Estimate the value(s) for x, such that f(x) = g(x). f). Estimate the values for x, such that g(x) > f(x). g). Find the value(s) of x, such that f(x) = 0. h). Find the value(s) of x, such that g(x) = 1. i). Estimate the value(s) of x such that g(x) = 0.

Solution

a)         g[f(0)]

from the graph f(0)=0

therefore g[f(0)]=g(0)=-2

b)         f[g(-1)]

from the graph g(-1)= 1

f[g(-1)]= f(1)= 2

c)         g[f(-4)]

from the graph f(-4)= -2

g[f(-4)] = g(-2) = 2

d)          f[g(-4)]

from the graph g(-4)= -2

f[g(-4)] = f(-2)= -1

e)        we have to find the value of x at which the two graphs are intersectng

At x=-4 and at x= -.5 the two graphs are intersecting and f(x)=g(x)

f)       in the interval(-4,-.5),g(x) > f(x)

g)      at x=0,the value of y or f(x)=0

h)      at x= -1, the value of y of g(x)= 1

i)       at x= -3.5 and at x=-.5 the value of g(x)=0