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

Answer

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

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

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

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