Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

if F(x)=3x-4 and g(x)=9x^2-16, find fog(1)

Sagot :

fog(x) = -25

Explanation:[tex]\begin{gathered} \text{Given: } \\ f(x)\text{ = 3x - 4} \\ g(x)\text{ = }9x^2-16 \\ \\ We\text{ n}eed\text{ to find fog(1)} \end{gathered}[/tex]

First we need to find fog(x):

We would replace the value of x in f(x) with the function g(x):

[tex]\begin{gathered} fog(x)=3(9x^2\text{ }-16)-4 \\ fog(x)=27x^2\text{ - 48 - 4} \\ fog(x)=27x^2\text{ - 52} \end{gathered}[/tex]

Next we will replace the value of x with 1 in function fog(x):

[tex]\begin{gathered} fog(1)=27(1)^2\text{ - 52} \\ fog(x)=\text{ 27 - 52} \\ fog(x)=\text{ }-25 \end{gathered}[/tex]

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.