Answer:
[tex]\left(gof\right)\left(0\right)=16[/tex]
Step-by-step explanation:
Given functions are [tex]f\left(x\right)=-3x+4[/tex] and [tex]g\left(x\right)=x^2[/tex].
Using both functions we need to find about what is the value of [tex]\left(gof\right)\left(0\right)[/tex]. That can be done as shown below:
[tex]\left(gof\right)\left(0\right)[/tex]
[tex]=g\left(f\left(0\right)\right)[/tex]
[tex]=g\left(-3\left(0\right)+4\right)[/tex]
[tex]=g\left(0+4\right)[/tex]
[tex]=g\left(4\right)[/tex]
[tex]=4^2[/tex]
[tex]=16[/tex]
Hence final answer is [tex]\left(gof\right)\left(0\right)=16[/tex].
