Question

Evaluate each expression using the graphs of $y=f\left(x\right)$and $y=g\left(x\right)$shown in the figure.

(a)$\left(g\circ f\right)\left(-1\right)$ (b) $\left(g\circ f\right)\left(0\right)$(c) $\left(f\circ g\right)\left(-1\right)$(d) $\left(f\circ g\right)\left(4\right)$.

Short answer

The value of the function is :

(a) 4 (b) 5 (c) 7 (d) -2.

Step-by-step solution

Step 1. Given Information.

The graphs of $y=f\left(x\right)$and $y=g\left(x\right)$.

Step 2. Evaluation of functional value.

The functional value

(a) $g\left(f\left(-1\right)\right)=g\left(1\right)=4$.

(b)$g\left(f\left(0\right)\right)=g\left(0\right)=5$.

(c)$f\left(g\left(-1\right)\right)=f\left(3\right)=7$.

(d)$f\left(g\left(2\right)\right)=f\left(2\right)=-2$.