Studdy AI Logo
Math

QuestionFind the input value where f(x)=1.8x−10f(x)=1.8x-10 equals g(x)=−4g(x)=-4. Choose the correct equation and solve for xx.

Studdy Solution

STEP 1

Assumptions1. The functions are f(x)=1.8x−10f(x)=1.8x-10 and g(x)=−4g(x)=-4 . We are looking for the xx-value where f(x)=g(x)f(x)=g(x)

STEP 2

To find the xx-value where f(x)=g(x)f(x)=g(x), we set the two functions equal to each other and solve for xx.
f(x)=g(x)f(x) = g(x)

STEP 3

Substitute the given functions into the equation.
1.8x−10=−1.8x -10 = -

STEP 4

Next, we need to isolate xx on one side of the equation. We can do this by adding 1010 to both sides of the equation.
1.8x−10+10=−4+101.8x -10 +10 = -4 +10

STEP 5

implify the equation.
1.8x=1.8x =

STEP 6

Finally, we divide both sides of the equation by 1.81.8 to solve for xx.
x=61.8x = \frac{6}{1.8}

STEP 7

implify the right side of the equation to find the value of xx.
x=103x = \frac{10}{3}So, the input value at which f(x)=g(x)f(x)=g(x) is 103\frac{10}{3}.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord