Let f(x) = x2, g(x) = √x + 3.
a. show that (f(x + 3)) = |x + 3| + 3.
b. does (x) = |x + 3| + 3 = (x) = |x| + 6? graph them on the same coordinate plane

Answer with Step-by-step explanation:

We are given that f(x)=

a.We have to show that

When we remove square root then we take plus minus therefore we write in modulus.

Therefore,

Hence, proved.

b.We have to find that

Substitute x=-3

Then, we get

for

But, for x<0

Hence, for all x.

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step-by-step explanation:

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.