Given the functions f(x)=5x+3 and g(x)=x^(2)-7, what is f(g(-3))? A. -77 B. -12 C. 3 D. 13 E. 137

Find g(-3): First, we need to find the value of g(-3). g(x) = x^2 - 7 g(-3) = (-3)^2 - 7 g(-3) = 9 - 7 g(-3) = 2Calculate f(g(-3)): Now that we have g(-3), we can find f(g(-3)). f(x) = 5x + 3 f(g(-3)) = f(2) f(2) = 5(2) + 3 f(2) = 10 + 3 f(2) = 13

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Given the functions
f(x)=5x+3 and
g(x)=x^(2)-7, what is
f(g(-3))?
A. -77
B. -12
C. 3
D. 13
E. 137

Given the functions $f(x)=5 x+3$ and $g(x)=x^{2}-7$ , what is $f(g(-3)) ?$ $\newline$ A. $-77$ $\newline$ B. $-12$ $\newline$ C. $3$ $\newline$ D. $13$ $\newline$ E. $137$

View step-by-step help

Home

Math Problems

Algebra 2

Evaluate expression when a complex numbers and a variable term is given

Full solution

Q. Given the functions

f(x)=5 x+3

and

g(x)=x^{2}-7

, what is

f(g(-3)) ?

\newline

-77

\newline

-12

\newline

3

\newline

13

\newline

137

Find $g(-3)$ : First, we need to find the value of $g(-3)$ .
$g(x) = x^2 - 7$
$g(-3) = (-3)^2 - 7$
$g(-3) = 9 - 7$
$g(-3) = 2$
Calculate $f(g(-3))$ : Now that we have $g(-3)$ , we can find $f(g(-3))$ .
$f(x) = 5x + 3$
$f(g(-3)) = f(2)$
$f(2) = 5(2) + 3$
$f(2) = 10 + 3$
$f(2) = 13$