Answer:
149
Explanation:
To find the value of f(-7), we will simply substitute x = -7 in the function. Given that we have a function of:
![\displaystyle{f(x)=3x^2+2}](https://img.qammunity.org/2023/formulas/mathematics/high-school/i5fei5q1bl7uqolslhz9p0ua3zmt0fcori.png)
Substitute in x = -7:
![\displaystyle{f(x)=3(-7)^2+2}](https://img.qammunity.org/2023/formulas/mathematics/high-school/cnn2cr1dtgwmb9tbsxwoc97y674n5fi1sj.png)
Recall that by squaring the negative number will always result in positive number:
![\displaystyle{f(-7)=3\cdot 49+2}\\\\\displaystyle{f(-7)=147+2}\\\\\displaystyle{f(-7)=149}](https://img.qammunity.org/2023/formulas/mathematics/high-school/gua5x6ouhzqt2zzoavw68k5egec2h151nx.png)
Therefore, the value of f(-7) will equal to 149.