For f(x) = x + 3 and g(x) = 2x + 1 , find the following functions. c and d

Question

asked Feb 25, 2023 105k views

1 Answer

David Faber · Answer 1 · 2023-03-03T12:58:28+0000

c)

We know that:

$(f\circ g)(x)=2x+4$

to find the function at x=1 we just plug this value of x in the expression found:

$(f\circ g)(1)=2(1)+4=2+4=6$

Therefore:

$(f\circ g)(1)=6$

d)

We know that:

$(g\circ f)(x)=2x+7$

Then we have:

$(g\circ f)(1)=2(1)+7=2+7=9$

Therefore:

$(g\circ f)(1)=9$