Let f ( x ) and g ( x ) be two real polynomials of degree 2 and 1 respectively. If f(g(x))=8 x2-2 x, and g(f(x))=4 x2+6 x+1, then the value of f(2)+g(2) is.

Question

Let f ( x ) and g ( x ) be two real polynomials of degree 2 and 1 respectively. If f(g(x))=8 x2-2 x, and g(f(x))=4 x2+6 x+1, then the value of f(2)+g(2) is. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

f(g(x)=8 x2-2 x. g(f(x)=4 x2+6 x+1. So, g(x)=2 x-1 g(2)=3 f(x)=2 x2+3 x+1 f(2)=8+6+1=15

Q. Let $f (x)$ and $g (x)$ be two real polynomials of degree $2$ and $1$ respectively. If $f (g (x)) = 8 x^{2} - 2 x$ , and $g (f (x)) = 4 x^{2} + 6 x + 1$ , then the value of $f (2) + g (2)$ is________.

$f (g (x) = 8 x^{2} - 2 x$
$g (f (x) = 4 x^{2} + 6 x + 1$
So, $g (x) = 2 x - 1 g (2) = 3$
$& f (x) = 2 x^{2} + 3 x + 1$
$f (2) = 8 + 6 + 1 = 15$

Q. Let f(x) and g(x) be two real polynomials of degree 2 and 1 respectively. If f(g(x))=8x2−2x, and g(f(x))=4x2+6x+1, then the value of f(2)+g(2) is________.

f(g(x)=8x2−2x g(f(x)=4x2+6x+1 So, g(x)=2x−1g(2)=3 &f(x)=2x2+3x+1 f(2)=8+6+1=15

Q. Let $f (x)$ and $g (x)$ be two real polynomials of degree $2$ and $1$ respectively. If $f (g (x)) = 8 x^{2} - 2 x$ , and $g (f (x)) = 4 x^{2} + 6 x + 1$ , then the value of $f (2) + g (2)$ is________.

$f (g (x) = 8 x^{2} - 2 x$
$g (f (x) = 4 x^{2} + 6 x + 1$
So, $g (x) = 2 x - 1 g (2) = 3$
$& f (x) = 2 x^{2} + 3 x + 1$
$f (2) = 8 + 6 + 1 = 15$