Question

Evaluate the following expressions given the functions below:

g(x) = -3x + 1
f(x) = x^2 + 7
h(x) = (Not provided)
j(x) = 2x + 9
a. g(10) = | B) g(10) = 7
b. f(3) = | C) f(3) = 16
c. h(-2) = (Not provided) |
d. j(7) - | E) j(7) = 23
e. h(a) = (Not provided) |
f. Find x if g(x) = 16 | G) x = -5
g. Find x if h(x) = -2 (Not provided)
h. Find x if f(x) = 23 | H) x = 4
i. CHALLENGE! (in other words, optional) (Not provided)
j. CHALLENGE! (also optional) (Not provided)

Answer 1

To evaluate the expressions, substitute the values into the functions. Examples include g(10) = -29 and f(3) = 16. To find x when g(x) = 16, solve the equation -3x + 1 = 16. The value of x is -5. To find x when f(x) = 23, solve the equation x^2 + 7 = 23. The value of x is 4 (or -4).

Step-by-step explanation:

To evaluate the given expressions, we substitute the values of the variables into the functions.

a. g(10) = -3(10) + 1 = -30 + 1 = -29

b. f(3) = (3)^2 + 7 = 9 + 7 = 16

d. j(7) = 2(7) + 9 = 14 + 9 = 23

g. To find x if g(x) = 16, we set the equation equal to 16 and solve for x:
-3x + 1 = 16
-3x = 15
x = -5

h. To find x if f(x) = 23, we set the equation equal to 23 and solve for x:
(x)^2 + 7 = 23
x^2 = 16
x = 4 (or x = -4)