Actually Welcome to the Concept of the Mathematics, this is called as function inside another function, just we have replace the condition of x here,
1)g(f(4)) = here, f(4) = 4-7= -3
so now, g(-3) = (-3)^2 =9
g(f(4)) = 9
2) f(g(4)) = 16-7 = 9
f(g(4))= 9
3) g(f(-1)) = 64
4) f(g(-1)) = -6
done.
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Answer:
Step-by-step explanation:
We need to first simplify the expression using rationalization(i.e. if a square root term exists in the denominator, then multiply and divide the whole expression by the denominator(but the change the sign of its middle term))
here, we need to find:
first we'll rationalize our expression:
this is our simplified expression, now we can apply our limits:
the limit does exists and it is 2.