Question

If $f\left(x\right)=x^2-10$ and $g\left(x\right)=4x+3$, calculate the value of $f\left(g\right(2\left)\right)$.

• A. $-24$
• B. $-21$
• C. $12$
• D. $27$
• E. $111$

Answer 1

The correct option is E $111$

Given, $f\left(x\right)=x^2-10$ and $g\left(x\right)=4x+3$

$\therefore g\left(2\right)=4\times 2+3=8+3=11$
Then, $f\left(g\right(2\left)\right)=f\left(11\right)={11}^2-10=121-10=111$