Question

Solue for &
X(3 + X) = 3x + x²

Answer 1

we have

`g(x)=x^2-3x-10`
`g\mleft(x+3\mright)=x^2+bx-c`

Solve for b and c

step 1

Find out g(x+3)

`g(x+3)=(x+3)^2-3(x+3)-10`

simplify

`g(x+3)=x^2+6x+9^{}-3x-3-10`

combine like terms

`g(x+3)=x^2+3x-4`

equate with the given expression

`x^2+3x-4=x^2+bx-c`

b=3

c=4

3x=bx -------> b=3

-4=-c ------> c=4