ZalmanS654240 ZalmanS654240
  • 03-11-2022
  • Mathematics
contestada

Find f(g(x)), where f(x)=2x^(2)-7x+8 and g(x) is 5x.

Respuesta :

BaldwinI527401 BaldwinI527401
  • 03-11-2022

We have the next given equations:

[tex]\begin{gathered} f(x)=2x^2-7x+8 \\ g(x)=5x \end{gathered}[/tex]

We need to find f(g(x)), which means the function f(x) in terms of g(x).

Then:

[tex]f\mleft(g\mleft(x\mright)\mright)=2(g(x))^2-7(g(x))+8[/tex]

Replacing:

[tex]\begin{gathered} f\mleft(g\mleft(x\mright)\mright)=2(5x)^2-7(5x)+8 \\ f(g(x))=2(25x^2)-35x+8 \\ f(g(x))=50x^2-35x+8 \end{gathered}[/tex]

Hence, the answer is f(g(x))=50x²-35x+8

Answer Link

Otras preguntas

Find the values of each angle in the quadrilateral
A. 3/22 B. 3/7 C. 8/15 D. 8/11
Write the complete balanced equation for the reaction between hydrochloric acid and magnesium hydroxide
Chlorine gas reacts with aluminum metal producing aluminum chloride. What mass of chlorine reacts with 9.00g of Al to form AlCl3
In which type of muscular contraction does the muscle change length either shortening or lengthening?
What is the answer to this ?
A locker combination has three nonzero digits, with no digit repeated. If the first two digits are odd, what is the probability that the third digit is also odd
Renee remembers very little about the first three years of her life. psychologists find this normal and call it:
which is a reactant for the photosynthesis reaction
Why was darwins theory controversial in the 1800s