Question

Evaluate each expression using the graphs of y=f(x) and y = g(x) shown below.(a) (gof)(-1) (b) (gof)(0) (c) (fog) - 1) (d) (fog)(4)

Answer 1

Answer:

a) 5

b) 6

c) -2

d) -3

Explanation:

Given:

a) From the graph, we can see that f(-1) = 1 and g(1) = 5, so we'll have that;

$(g\circ f)(-1)=g(f(-1))=g(1)=5$

b) From the graph, we can notice that f(0) = 0, g(0) = 6, so we'll have that;

$(g\circ f)(0)=g(f(0))=g(0)=6$

c) From the graph, we can notice that g(-1) = 4 and f(4) = -2, so we'll have that;

$(f\circ g)(-1)=f(g(-1))=f(4)=-2$

d) From the graph, we can see that g(4) = 3 and f(3) = -3, so we'll have that;

$(f\circ g)(4)=f(g(4))=f(4)=-3$