Question

Determine the input value for which the statement
f(x) = g(x) is true.

From the graph, the input value is approximately .

f(x) = 3 and g(x) = x – 2

3 = x – 2

5 = x

The x-value at which the two functions’ values are equal is .

Answer 1

x = 10/3 is the x-value at which the two functions values are equal

Step-by-step explanation:

see attached graph

f(x) = 3

g(x)  few points

(0 , -2)   &  (2 , 1)

slope = (1 -(-2))/(2 - 0)

= 3/2

g(x) = 3x/2  + c

(2 , 1)  lies on this

=> g(2) = 1

1 = 3*2/2 +c

=> c = -2

g(x) = 3x/2  - 2

f(x) = 3

f(x) = g(x)

=>3 = 3x/2  - 2

=> 6 = 3x - 4

=> 3x = 10

=> x = 10/3

x = 10/3 is the x-value at which the two functions values are equal

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