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If(x)= 5x-2, find(-3).

a. -13
b. 13
c. -17
d. 17
If(x)= 5x-2, find x such that f(x)= -3.
a. -1/5
b. 1/5
c. -1

User Coen Damen
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1 Answer

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Final answer:

The evaluation of the function f(x) = 5x - 2 for x = -3 yields -17, and solving the equation f(x) = -3 for x gives x = -1/5.

Step-by-step explanation:

To find f(-3), we substitute -3 into the equation f(x) = 5x - 2.

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

Therefore, the correct answer is c. -17.

To find the value of x such that f(x) = -3, we substitute -3 into the equation and solve for x:

-3 = 5x - 2

Adding 2 to both sides, we get:

-1 = 5x

Dividing by 5

The student is asking to evaluate the function f(x) = 5x - 2 for a given value of x and to solve for x when the function equals a particular number.

To find f(-3), we plug -3 into the function:

f(-3) = 5(-3) - 2 = -15 - 2 = -17. So the answer is c. -17.

Now, to solve for x when f(x) = -3, we set the function equal to -3 and solve for x:

-3 = 5x - 2

Add 2 to both sides:

-1 = 5x

Divide by 5:

x = -1/5

So the correct answer is a. -1/5.

User Lwestby
by
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