If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (FoG)(x)?

Question

asked Nov 5, 2017 203k views

2 Answers

Jabs · Answer 1 · 2017-11-11T08:20:34+0000

Answer:
$(f\circ g)(x)=3x^2+5$

Explanation:

We know that if f and g are functions, then the composite function of f and g is defined by :-

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

Given: If
$f(x) = 3x + 2\ and\ g(x) = x^2 + 1$

Then,
$(f\circ g)(x)=f(g(x))\\\\=f(x^2 + 1)\\\\=3(x^2 + 1)+ 2\\\\=3x^2+3+2\\\\=3x^2+5$

Hence,
$(f\circ g)(x)=3x^2+5$