Question

The table shows values for functions f(x) and g(x).

x f(x) = −4x−3 g(x) = −3^x+1 +2
- look at ss

answers (multiple right answer):
a) -3
b) -2
c) -1
d) 0
e) 1
f) 2
g) 3

Answer 1

c, e

Explanation:

You want to know the values of x such that f(x) = g(x) for the functions defined as f(x)=-4x-3 and g(x)=-3^(x+1)+2.

Function values

The values of each of the functions are given in the table. The condition f(x)=g(x) is met for any line having the same values for f(x) and g(x). The x-value on those lines is a solution to the equation.

Solutions

For x = -1, we have f(-1) = 1 = g(-1). Hence -1 is a solution.

For x = 1, we have f(1) = -7 = g(1). Hence 1 is a solution.

Solutions are x = -1 (c) and x = 1 (e).