Answer:
8. h( f(x) ) = x²+14x+52
9. h( g(x) ) = 2x
Step-by-step explanation:
These questions are asking you to sub a function into another, and you solve by doing that the same way you would with a number. For example, if question 8 was h(3) instead of h(f(x)), you would sub 3 into h(x) wherever you saw an x, and evaluate. It's the same idea here, just with functions.
8.
h(x)=x²+3
h( f(x) ) = ( f(x) )²+3
h( f(x) ) = ( x+7 )²+3
h( f(x) ) = ( x²+14x+49 )+3
h( f(x) ) = x²+14x+52
9.
h(x)=x²+3
h( g(x) ) = ( g(x) )²+3
h( g(x) ) = ( [tex]\sqrt{2x-3}[/tex] )²+3
h( g(x) ) = (2x-3)+3
h( g(x) ) = 2x
