Q95 / 180 · KCET 2015 · Mathematics

If \( f(x)=2 x^{2} \), find \( \frac{f(3.8)-f(4)}{3.8-4} \)

  • A
    \( 1.56 \)
  • B
    \( 156 \)
  • Correct answer
    C
    \( 15.6 \)
  • D
    \( 0.156 \)

Solution

Given that, \( f(x)=2 x^{2} \)
So, \( \frac{f(3.8)-f(4)}{3.8-4} \)
\( =\frac{2(3.8)^{2}-2(4)^{2}}{3.8-4}=\frac{2(3.8-4)(3.8+4)}{(3.8-4)} \)
\( =2(3.8+4)=15.6 \)

Hence, the correct answer is option: 'C'.

Relevant Questions