Answer:
Correct choce is (a). 30.
Explanation:
Given equation is
.
Now we need to find the value of (fof)(3). Then select correct matching choice from the given choices. Where given choices are:
(a). 30
(a). 33
(a). 6
(a). -6
Now let's find
![(fof)(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ho1a0ttg6pshm1o0wmy3xsja1lw4xkx8jm.png)
![(fof)(3)=f(f(3))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5zm8pkn6usz8c6raxumcrp81rgg5wpl5cv.png)
![(fof)(3)=f(3^2-3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/d5eorv31bgdjqu61nz786v4532xxu5tcgl.png)
![(fof)(3)=f(9-3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qzsvkhd7vff1uwo8rk9stplzpzlgwnv8e9.png)
![(fof)(3)=f(6)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/15wclxespm3ewe02adxqd5k82eyrjmrmdg.png)
![(fof)(3)=6^2-6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3yqvopjvx5b360q5xw356tgo9g4qutbjj1.png)
![(fof)(3)=36-6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/wum61gdgtvkjkhpapf766b1a4hh5v16ci0.png)
![(fof)(3)=30](https://img.qammunity.org/2020/formulas/mathematics/middle-school/d88bdl3mfkeqo7m1nhktehwz58pdc7a9ax.png)
Hence correct choce is (a). 30.