Question

For (x) =2x+1 and g(x)= x^2-7, find ( f o g ) (2)

Answer 1

Answer:

-5

Step-by-step explanation:

Given functions,

$f(x) =2x+1-----(1)$

$g(x)= x^2-7-----(2)$

$fog(x)=f(g(x))$

$=f(x^2-7)$           ( From equation (2) )

$=2(x^2-7)+1$       ( From equation (1) )

$=2x^2-14+1$

$=2x^2-13$

Hence,

$fog(2) = 2(2)^2-13=8-13=-5$

Answer 2

F(x)=2x+1
g(x)= x²-7, 
f o g(x)=2(x²-7)+1=2x²-14+1=2x²-13
f o g(2)=2*2²-13=8-13=-5

or
g(2)=4-7=-3
f o g(2)=2*(-3)+1=-5