Let $f$ and $g$ be two functions from $R$ to $R$ defined as $ f(x)=\left\{\begin{array}{c} 7 x^2+x-8, & x \leq 1 \\ 4 x+5,& 1 7 \end{array}\right., \, g(x)=\left\{\begin{array}{c} |x|, & x < -3 \\ 0,& -3 \leq x < 2 \\ x^2+4, & x \geq 2 \end{array}\right. $ then

JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

Let

f

and

g

be two functions from

R

R

defined as

f(x)=\left\{\begin{array}{c} 7 x^2+x-8, & x \leq 1 \\ 4 x+5,& 1 < x \leq 7 \\ 8 x+3,& x>7 \end{array}\right., \, g(x)=\left\{\begin{array}{c} |x|, & x < -3 \\ 0,& -3 \leq x < 2 \\ x^2+4, & x \geq 2 \end{array}\right.

then

View answer and explanation

Correct option: B

(f o g)(9)=683

Option B ((f o g)(9)=683) is correct because when x=9, g(9) = 85 and f(85) = 683.