If f(x) = 2x + 7 and g(x) = x2 2, what is [f o g](3)?

Question

asked Aug 7, 2019 186k views

1 Answer

Krishnadas PC · Answer 1 · 2019-08-13T01:51:26+0000

Answer:

The value [fog](3) is 29.

Explanation:

The given functions are

f(x)=2x+7

g(x)=x^2+2

We have to find [fog](3).

$(f\circ g)(x)=f(g(x))$

$(f\circ g)(3)=f(g(3))$

$(f\circ g)(3)=f(3^2+2)$
$[\because g(x)=x^2+2]$

$(f\circ g)(3)=f(11)$

$(f\circ g)(3)=2(11)+7$
$[\because f(x)=2x+7]$

$(f\circ g)(3)=22+7$

$(f\circ g)(3)=29$

Therefore the value [fog](3) is 29.