Use the graphs for f ( x ) and g ( x ) to evaluate the expressions below. Write your answer as an integer or a reduced fraction.

Question

f (g(0)) =

f (f(−3)) =

g (f(−6)) =

g (g(−1)) =

Link to graphs : https://imgur.com/0AO1zwF

Answer 1

I am presuming you have access to the graphs you put a link to for this.

For f(g(0)), you work from the inside out, first finding g(0), which is the value of y at x=0 on the g graph. That is -3. then you put that answer into the f(x) equation, so it would look like f(g(0)) ->f(-3) = when you look at the f(x) graph at x = -3, you will note the y value is +3; therefore f(g(0))=3

I'll do one more for you, and I think you will understand how to do the other 2 then. How about g(f(-6))? Again, work from the inside out starting with the value of y at f(-6)=0, plug that into g(0) = -3; therefore, g(f(-6))=-3

I hope this helps and is sufficient for you to be able to do the other 2 problems noted.