if f(x)= x+5 and g(x)= x²-3, find the following. a. f(g(0)) b. g(f(0)) c.f(g(x)) d. g(f(x)) e. f(f(-5)) f. g(g(2)) g. f(f(x)) h. g(g(x))

Question

Just give me a    hint for these question.

Answer 1

a. f(g(0))=f(-3)=2

b. g(f(0))=g(5)=25-3=22

c. f(g(x))=f(x²-3)=x²-3+5=x²+2

d. g(f(x))=g(x+5)=(x+5)²-3=x²+10x+22

e. f(f(-5))=f(0)=5

f. g(g(2))=g(1)=1-3=-2

g. f(f(x))=f(x+5)=x+5+5=x+10

h. g(g(x))=g(x²-3)=(x²-3)²-3=x⁴-6x²+9-3=x⁴-6x²+6