Algebraic & Function Expressions

Nested Functions

10. Given that f(x) = 3x + 7 and g(x) = x^2/2, what is the
value of f(g(4))?

21. Given functions f (x) = 2x + 1 and g(x) = x2 — 4, what is

25. For functions f and g defined by f(x) = 2x^2 + x and g(x) = 3x — 1, what is the value of f(g(3)) ?

25. Tables of val~s fqr the 2 .funotion.s fatJ.d g .are shown
below. What is the value of g(/(5))?

28. Given functions f(x)= x — 5 and g(x)= 5 — x2, what is f(g(-4))?

36. Given f (x) = −x − 4 and h(x) = 2x + 3, what is h_ f (x)+ ?

41. Given the functions f (x) = x2 + 1 and g(x) = x − 3, which of the following expressions is f _g(x)+ ?

43. Given f(x) = x2 + 3x and g(x) = x + 1, what is f(g(x)) ?

50. The table below gives values of the functions f and g at different values of x. What is f _g(1)+ ?

53. Given that f (x) = x2 − 4 and g(x) = x + 3, what are all the values of x for which f _g(x)+ = 0 ?

60. Consider the 2 functions f(x) = 2x + 5 and g(x) = 3x + b,