Question

Consider f(x) = 1.8x – 10 and g(x) = −4.

Select the equation that can be used to find the input value at which f (x ) = g (x ), and then use that equation to find the input, or x -value.

Answer 1

Part 1) The equation that can be used is 1.8x-10=-4

Part 2) The input or x-value is x=10/3

Explanation:

we have

f(x)=1.8x-10

g(x)=-4

To find the solution of the system of equations equate f(x) and g(x)

f(x)=g(x)

substitute

1.8x-10=-4 -----> equation that can be used to find the input value at which f (x ) = g (x )

Solve for x

Adds 10 both sides

1.8x=-4+10

1.8x=6

Divide by 1.8 both sides

x=6/1.8

Remember that

1.8=18/10

substitute

x=6/(18/10)

x=60/18

Simplify

x=10/3