Question

Let f(x) = x2 + x - 6 and g(x) = 7x + 3. Find g(1) and f(g(1)).
PLEASE HELP ME ASAP !!!

Answer 1

• g(1) = 10
• f(g(1)) = 104

Explanation:

You want the values of g(1) and f(g(1)), given that f(x) = x² +x -6 and g(x) = 7x +3.

Function evaluation

To find the value of a function for a particular argument (value of x), put that value where x is and do the arithmetic.

g(1) = 7·1 +3 = 7 +3 . . . . . use 1 in place of x in 7x+3

g(1) = 10

For f(g(1)), we first need to find g(1). We already did that, above.

f(g(1)) = f(10) = 10² +10 -6 - 100 +10 -6 = 110 -6

f(g(1)) = 104