Question

Evaluate the expression, given functions f and h: f(x) = 3x − 1, h(x) = −2x2 + 3x − 7.

f( 7/3)− h(−2) =

Answer 1

To evaluate the expression f(7/3) - h(-2), substitute the values of x in the functions f(x) and h(x), then subtract the result of h(-2) from f(7/3). The final result is 27.

Step-by-step explanation:

To evaluate the expression f(7/3) - h(-2), first substitute the value of x in the function f(x)

f(7/3) = 3(7/3) - 1 = 7 - 1 = 6

Next, substitute the value of x in the function h(x)

h(-2) = -2(-2)^2 + 3(-2) - 7 = -2(4) - 6 - 7 = -8 - 6 - 7 = -21

Finally, subtract h(-2) from f(7/3)

f(7/3) - h(-2) = 6 - (-21) = 6 + 21 = 27

Answer 2

Your answer is 27