Question

Drag the tiles to the boxes to form correct pairs.Match each operation involving fx) and g(x) to its answer.(T) = 1 - 22 and g(x) = V11 – 40(gx )(2)(8 - 1)(-1)(9 + )(2)-373V3 - 30V15

Answer 1

1.

`(g* f)(2)`

It means multiply f(x) and g(x) and then put "2" into it. The solution is what we are looking for. So,

`\begin{gathered} (g* f)(2)=\sqrt[]{11-4x}*1-x^2 \\ =\sqrt[]{11-4(2)}*1-(2)^2 \\ =\sqrt[]{3}*-3 \\ =-3\sqrt[]{3} \end{gathered}`

2.

`(g-f)(-1)`

For this we subtract f from g and put -1 into the expression. So

`\begin{gathered} (g-f)(-1)=\sqrt[]{11-4x}-1+x^2 \\ =\sqrt[]{11-4(-1)}-1+(-1)^2 \\ =\sqrt[]{15}-1+1 \\ =\sqrt[]{15} \end{gathered}`

3.

`(g+f)(2)`

We simply add f and g and put 2 into the final expression.

`\begin{gathered} (g+f)(2)=\sqrt[]{11-4x}+1-x^2 \\ =\sqrt[]{11-4(2)}+1-(2)^2 \\ =\sqrt[]{3}-3 \end{gathered}`

4.

`\begin{gathered} ((f)/(g))(-1) \\ \end{gathered}`

We divide f by g and put -1 in the final expression. Shown below:

`\begin{gathered} ((f)/(g))(-1)=\frac{1-x^2}{\sqrt[]{11-4x}} \\ =\frac{1-(-1)^2}{\sqrt[]{11-4(-1)}} \\ =\frac{0}{\sqrt[]{15}} \\ =0 \end{gathered}`

Now, please match each answer with each choice.