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Sagot :
fog(x) = -25
Explanation:[tex]\begin{gathered} \text{Given: } \\ f(x)\text{ = 3x - 4} \\ g(x)\text{ = }9x^2-16 \\ \\ We\text{ n}eed\text{ to find fog(1)} \end{gathered}[/tex]First we need to find fog(x):
We would replace the value of x in f(x) with the function g(x):
[tex]\begin{gathered} fog(x)=3(9x^2\text{ }-16)-4 \\ fog(x)=27x^2\text{ - 48 - 4} \\ fog(x)=27x^2\text{ - 52} \end{gathered}[/tex]Next we will replace the value of x with 1 in function fog(x):
[tex]\begin{gathered} fog(1)=27(1)^2\text{ - 52} \\ fog(x)=\text{ 27 - 52} \\ fog(x)=\text{ }-25 \end{gathered}[/tex]
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