Question

If f(x)=4x-6 and g(x) vx+2 what is (f*g)(7)

Answer 1

Answer: The value of (f*g)(7) is 66.

Explanation:

Given functions:
`f(x)= 4x-6\text{ and } g(x)=√(x+2)`

Since, product of two functions:
`(u*v)(x)=u(x)* v(x)`

`(f*g)(x)=f(x)* g(x)\\\\=4x-6* √(x+2)\\\\\Rightarrow\ (f*g)(x)=(4x-6) √(x+2)`

`(f*g)(7)=(4(7)-6)√(7+2)\\\\=(28-6)√(9)\\\\=22* 3=66`

Hence, the value of (f*g)(7) is 66.