If f: r→r is continuous at a point c∈ r and g: r→r is continuous at f(c)∈r, then the composition g(f(x)) : r→r is continuous at c.

The assertion that g(f(x)) is continuous at c is true.

Step-by-step explanation:

is continuous at c

is continuous at

which is defined as per given data thus g(f(x)) is continuous at x=c

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11