Question

If f(x) = x-5 and g(x) = 3x2-1, what is (fºg)(x)?

Answer 1

Answer:

$(f\circ \: g)(x) = {3x}^{2} - 6$

Step-by-step explanation:

f(x) = x - 5

g(x) = 3x² - 1

To find (fºg)(x) substitute g(x) into f(x) that's for every x in f (x) replace it with g (x)

That's

$(f\circ \: g)(x) = 3 {x}^{2} -1 - 5$

We have the final answer as

$(f\circ \: g)(x) = {3x}^{2} - 6$

Hope this helps you