Consider the linear function f(x)=4x-5 Find the values of x for which f(x)=3,f(x)=5,f(x)=-3

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

7 0

Answer:

f(2) = 3

f(5/2) = 5

f(½) = -3

Step-by-step explanation:

Given the linear function f(x) = 4x - 5:

3 = 4x - 5

3 + 5 = 4x - 5 + 5

8 = 4x

8/4 = 4x/4

2 = x

Therefore, when f(x) = 3, x = 2.

5 = 4x - 5

5 + 5 = 4x - 5 + 5

10 = 4x

10/4 = 4x/4

5/2 = x

Therefore, when f(x) = 5, x = 5/2.

-3 = 4x - 5

-3 + 5 = 4x - 5 + 5

2 = 4x

2/4 = 4x/4

½ = x

Therefore, when f(x) = -3, x = ½.

You might be interested in

Answer this question plz

olya-2409 [2.1K]

Answer: velocity-time graph

Step-by-step explanation: The principle is that the slope of the line on a velocity-time graph reveals useful information about the acceleration of the object. If the acceleration is zero, then the slope is zero (i.e., a horizontal line). If the acceleration is positive, then the slope is positive (i.e., an upward sloping line).

8 0

3 years ago

The graphs below show four functions: Graph A shows function f of x equals 4 multiplied by 3 to the power of x. Graph B shows fu

s2008m [1.1K]

Answer:

Graph B shows function f of x equals 4 multiplied by 3 to the power of negative x.

Step-by-step explanation:

$f(x) = 4(3)^{-x}$ is the value 4 times three raised to the negative x. Graph B is the best representation.