SOLUTION: for the indicated functions f and g, find the functions f°g ,and g°f, and find their domains.
f(x)=|x+1|; g(x)= 2x + 3
Algebra.Com
Question 940031: for the indicated functions f and g, find the functions f°g ,and g°f, and find their domains.
f(x)=|x+1|; g(x)= 2x + 3
Answer by srinivas.g(540) (Show Source): You can put this solution on YOUR website!
f(x)=|x+1|; g(x)= 2x + 3
fog = f(g(x))
=f(2x+3)
replace x with 2x+3 in f(x)
= |2x+3+1|
=|2x+4|
fog =|2x+4|
Domain:
for values of x, the above said function is valid
hence domain is all real numbers (R)
gof = g(f(x))
= g(|x+1|)
replace x with |x+1| in g(x)
=2|x+1| +3
domain:for values of x, the above said function is valid
hence domain is all real numbers (R)
RELATED QUESTIONS
for the indicated functions f and g, find the
functions f + g, f - g, fg, and f|g, (answered by ewatrrr)
for the indicated functions f and g, find the
functions f + g, f - g, fg, and f|g, (answered by ewatrrr)
for the indicated functions f and g, find the
functions f + g, f - g, fg, and f|g, (answered by ewatrrr)
for the indicated functions f and g, find the functions f°g ,and g°f, and... (answered by srinivas.g)
find the indicated function value, if it exists,
given f(x) = 2 - x and g(x)... (answered by josgarithmetic)
find the indicated function value, if it exists,
given f(x) = 2 - x and g(x)... (answered by srinivas.g)
find the indicated function value, if it exists,
given f(x) = 2 - x and g(x)... (answered by stanbon,josgarithmetic)
given the functions f(x) = 1-3x^2 and g(x) = sqrtx-1, find the functions (f+g) , (f-g),... (answered by josgarithmetic)
find the indicated function value, if it exists,
given f(x) = 2 - x and g(x)... (answered by srinivas.g,MathTherapy)