Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Given that f(x)=-4x,quad g(x)=x-2 and h(x)=2f(x+2)+2g(x), then what is the value of h(5) ? Answer:

Given that f(x)=−4x,g(x)=x−2 f(x)=-4 x, \quad g(x)=x-2 and h(x)=2f(x+2)+2g(x) h(x)=2 f(x+2)+2 g(x) , then what is the value of h(5) h(5) ?\newlineAnswer:

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Precalculusright chevron icon
Solve logarithmic equations with multiple logarithmsright chevron icon

Full solution

Q. Given that f(x)=−4x,g(x)=x−2 f(x)=-4 x, \quad g(x)=x-2 and h(x)=2f(x+2)+2g(x) h(x)=2 f(x+2)+2 g(x) , then what is the value of h(5) h(5) ?\newlineAnswer:
  1. Calculate f(5+2)f(5+2): First, we need to find the value of f(x)f(x) when xx is replaced by 5+25+2, which is f(5+2)f(5+2).\newlineCalculation: f(5+2)=−4×(5+2)=−4×7=−28f(5+2) = -4\times(5+2) = -4\times7 = -28
  2. Calculate g(5)g(5): Next, we calculate the value of g(x)g(x) when xx is replaced by 55, which is g(5)g(5).\newlineCalculation: g(5)=5−2=3g(5) = 5 - 2 = 3
  3. Find h(5)h(5): Now, we will use the values of f(5+2)f(5+2) and g(5)g(5) to find h(5)h(5) using the given formula h(x)=2f(x+2)+2g(x)h(x)=2f(x+2)+2g(x).\newlineCalculation: h(5)=2⋅f(5+2)+2⋅g(5)=2⋅(−28)+2⋅(3)=−56+6=−50h(5) = 2\cdot f(5+2) + 2\cdot g(5) = 2\cdot (-28) + 2\cdot (3) = -56 + 6 = -50

More problems from Solve logarithmic equations with multiple logarithms

Question
Solve. Write your answer as an integer or a fraction in simplest form.\newline5x=15^x=1\newlinex=x= _____
Get tutor helpright-arrow

Posted 2 months ago

Question
Steven opened a savings account and deposited $100.00\$100.00 as principal. The account earns 9%9\% interest, compounded annually. What is the balance after 55 years?\newlineUse the formula A=P(1+rn)ntA = P(1 + \frac{r}{n})^{nt}, where AA is the balance (final amount), PP is the principal (starting amount), rr is the interest rate expressed as a decimal, nn is the number of times per year that the interest is compounded, and tt is the time in years.\newlineRound your answer to the nearest cent.\newline$\$____
Get tutor helpright-arrow

Posted 2 months ago

Question
Use the following function rule to find f(1) f(1) .\newlinef(x)=12(7)x+8 f(x) = 12(7)^x + 8 \newlinef(1)= f(1) = _____
Get tutor helpright-arrow

Posted 1 month ago

Question
The town of Valley View conducted a census this year, which showed that it has a population of 1,8001,800 people. Based on the census data, it is estimated that the population of Valley View will grow by 12%12\% each decade.\newlineWrite an exponential equation in the form y=a(b)xy = a(b)^x that can model the town population, yy, xx decades after this census was taken.\newlineUse whole numbers, decimals, or simplified fractions for the values of aa and bb.\newliney=y = ______
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve. Round your answer to the nearest thousandth.\newline7=9x7 = 9^x\newlinex=x = ____
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve. Round your answer to the nearest thousandth.\newline7=ex7 = e^x\newlinex=x = ____
Get tutor helpright-arrow

Posted 1 month ago

Question
Solve. Simplify your answer.\newlinelog⁡u=1\log u = 1\newlineu=u = ____
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve. Simplify your answer.\newline7log⁡x=77\log x = 7\newlinex=x = ____
Get tutor helpright-arrow

Posted 1 month ago

Question
How does g(t)=3t g(t) = 3^t change over the interval from t=3 t = 3 to t=4 t = 4 ?\newlineChoices:\newline(A) g(t) g(t) decreases by 3 3 \newline(B) g(t) g(t) increases by 3 3 \newline(C) g(t) g(t) decreases by 3% 3\%\newline(D) g(t) g(t) increases by 200%200\%
Get tutor helpright-arrow

Posted 2 months ago

Question
A function f(x) f(x) increases by 6 6 over every unit interval in x x and f(0)=0 f(0) = 0 .\newlineWhich could be a function rule for f(x) f(x) ?\newlineChoices:\newline(A) f(x)=6xf(x) = 6^x\newline(B) f(x)=6xf(x) = 6x\newline(C) f(x)=16xf(x) = \frac{1}{6^x}\newline(D) f(x)=x6f(x) = \frac{x}{6}
Get tutor helpright-arrow

Posted 2 months ago

View all (104)