Question

Let f(x) = 5x + 2 and g(x) = x^2 + 3x -4. Evaluate the following. a. f(3)= b. f(-4)= c. g(-1)= d. g(3)= e. f(a-3)=f. g(a-3)=

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

f(x) = 5x + 2

g(x) = x² + 3x - 4

Step 02:

functions:

a. f(3):

f(3) = 5(3) + 2 = 15 + 2 = 17

b. f(-4):

f(-4) = 5(-4) + 2 = -20 + 2 = - 18

c. g(-1):

g(-1) = (-1)² + 3(-1) - 4 = 1 - 3 - 4 = - 6

d. g(3):

g(3) = (3)² + 3(3) - 4 = 9 + 9 - 4 = 14

e. f(a-3):

f(a - 3) = 5(a - 3) + 2 = 5a - 15 + 2 = 5a - 13

f. g(a-3):

g(a - 3) = (a - 3)² + 3(a - 3) - 4 = a² - 6a + 9 + 3a - 9 - 4 = a² - 3a - 4

That is the full solution.