Question

If f(x)=2x+3 and g(x)=x^2+1 find f(g(3))

Help!!
A.23
B.47
C.82
D.90

Answer 1

A. 23

step-by-step explanation

`g(x) = {x}^(2) + 1`

We put x=3 into the function g

`\implies g(3)= {3}^(2) + 1`

`\implies \: g(3)=10`

Also,

`f(x)=2x +3`

we substitute the value of g(3) into f

`\implies f(g(3))=f(10)`

`\implies f(g(3))=f(10) = 2(10) + 3`

`\implies f(g(3))=23`